In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?

Answers

Answer 1

Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

                                                            Q= 1-P

                                                           Q = 1- 0.51 = 0.49

The sample proportion

                                   [tex]p = \frac{x}{n} = \frac{501}{934} = 0.5364[/tex]

Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

Step(ii):-

Null hypothesis:  P < 0.51

Alternative Hypothesis : P > 0.51

  Test statistic

                    [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

                   [tex]Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }[/tex]

                  Z =  1.5950

Final answer:-

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

               ( OR)

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time


Related Questions

Can you please help me :)

Answers

Answer:

1) n = 24

2) m = 18

3) x = 15

4) m = 30

y = 3

m = 2

k = 45

x = 4

k = 80

Step-by-step explanation:

Brainliest pls

Answer:

Sorry I dont have time to put all the answers but here is the answers for 1-4

1. n=24

n-8=16

using opposite rule

n=16+8

n=26

2. m=18

2m=36

opposite rule

m=36÷2

m=18

3. x=15

x+5=20

opposite rule

x=20-5

4. m=30

[tex] \frac{m}{5} = 6[/tex]

m=6×5

m=30

If the volume of the polyhedron is 147π in^3, the value of x is ___ cm.

Answers

Answer:

x = 6.44 cm

Step-by-step explanation:

Given that,

Volume, V = 147π in³

Height, h = 9 cm = 3.54 in

We need to find the value of x. The formula of this polyhedron is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{147\pi }{\pi \times 3.54}} \\\\r=6.44\ in[/tex]

or

r = 16.35 cm

So, the value of x is equal to 6.44 cm.

Use the following table to find the value of h '(2) if h(x) = f[g(x)]:
x 2 3 4
f(x) 5 1 6
g(x) 4 2 3
f'(x) 1 7 8
g'(x) 3 1 2

(A) 6
(B) 24
(C) 20
(D) 3

Answers

Answer:

The values of g(x): 2,8,2. So now what would the answer be then

Step-by-step explanation: h'(1)=f''(g(1))g'(1)=6f'(2)=6*5=30

plz help will give crown

Answers

Answer:

from what i can see, your correct. its the last one.

Step-by-step explanation:

hope this helps and please give brainly

Once u type the answer please type how u got it thanks<3

Answers

Answer:

[tex]2\frac{3}{4}[/tex]

Step-by-step explanation:

Let's bring them to the same denominator: 4

[tex]2\frac{1}{4} = 2 + \frac{1}{4} = \frac{2\cdot 4}{4} + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}\\~\\5 = \frac{5\cdot 4}{4} = \frac{20}{4}\\~\\5 - 2\frac{1}{4} = \frac{20}{4} - \frac{9}{4} = \frac{11}{4} = \frac{8}{4} + \frac{3}{4} = \frac{2\cdot 4}{4} + \frac{3}{4} = 2 + \frac{3}{4} = 2\frac{3}{4}[/tex]

please help me

Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.

Methods:

Factoring
Square root Property
Completing the Square
Quadratic Formula

1. 3x^2 - 192 = 0
Method:
Why:

2. x^2-x-6=0
Method:
Why:

3. x^2-6x-7=0
Method:
Why:

4. x^2-17x-7=0
Method:
Why:

Answers

Answer:

The values of x are +8 and -8

Step-by-step explanation:

1. The given equation is :

[tex]3x^2 - 192 = 0[/tex]

We need to find the value of x.

It can be done as follows :

[tex]x^2=\dfrac{192}{3}\\\\x^2=64\\\\x=\pm 8[/tex]

So, the values of x are +8 and -8.

There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks one pen at random and does not replace it, then she another pen.

Answers

Answer:

Step-by-step explanation:

23 points!! Pls HELP Will mark brainliest if correct will report if answer is unrelated.

Answers

Answer:

Less than

Step-by-step explanation:

The span of student ones box plot is going farther in the negatives then student two

Answer:

less than

Step-by-step explanation:

student 1 is 64 and student 2 is 65

What is the value of y in the equation 2(4y - 1) = 6?

A: 0
B: 1
C: 6
D: 8

Answers

Answer:

Step-by-step explanation:

Fist we multiply the values:

2*4y-2*1=6

8y-2=6

8y=6+2

8y=8

y=8:8

y=1

2*4(1)
2*4(1) - 2*1 = 6
Answer = 1

solve the following proportion for v

[tex] \frac{ v}{13} = \frac{8}{11} [/tex]

round your answer to the nearest tenth​

Answers

simplify both sides of the equation and isolate the variable
v= 9.45


Ten centimeters is what fraction of one meter?

Answers

Answer:

please give me brainlist and follow

Step-by-step explanation:

1/10 of 1 m = 10 cm.

Which expression best matches the statement:
Four times the sum of three and two.
4x3+2
4x3x2
(4x3) + 2
4 (3+2)

Answers

Answer:

4(3+2)

Step-by-step explanation:

3 and 2 are added beforehand, then multiplied by 4, which is why they are in parenthesis.

What is the surface area of the given figure?

A.2,520 cm2

B.2,792 cm2

C.4,080 cm2

D.2,280 cm2 ​

Answers

Answer:

D. 2,280 cm²

Step-by-step explanation:

Surface area of triangular prism = bh + (S1 + S2 + S3)*L

Where,

b = 24 cm

h = 10 cm

S1 = 26 cm

S2 = 24 cm

S3 = 10 cm

L = 34 cm

Plug in the values

Surface area = 24*10 + (26 + 24 + 10)*34

= 240 + 2,040

= 2,280 cm²

How many years would it take Brittney to make $20,000 in interest using a interest investment of $200,000 in principal at 5% return?

Answers

2 is the time /rate in the question

What are the terms in the expression 6r + 5y +3

Answers

Step-by-step explanation:

Your que. isn't very clear

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 95 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

Answers

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

         [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

        [tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

The volume of the polyhedron is ______ cm3.

Answers

Answer:

50.80 cm^3

Step-by-step explanation:

the polyhedron is a rectangular pyramid

Volume of a rectangular pyramid = 1/3 x ( width x height x length)

1/3 ( 4 x 5 x 3) = 20 inches

we need to convert inches to cm

1 in = 2.54 cm

20 x 2.54 = 50.80 cm^3

A parrot is sold for 30% off the original price. If the sale
price of the parrot was $56, what was its original price?

Answers

Answer:

The original price of the parrot was $16.8

Step-by-step explanation:

Hoped this helped :)

Answer:

Just look this up and you shall get the answer:)

Step-by-step explanation:

Suppose that there are 5 children in a gymnastics class. One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down. The results are: Ashley (20), Brittany (8), Carol (22), Darla (26), and Erica (24). The mean number of steps these children took while walking on their hands is 20 steps. Identify the population and parameter.

Answers

Answer:

Population = number of children in gymnastic class = 5

Parameter = mean number of steps taken by the 5 children

Step-by-step explanation:

The population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research. In the scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.

Parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information. Here, the mean value of steps obtained from the step counts of the population data is called the parameter.

Population is number of children in gymnastic class = 5.

Parameter is mean number of steps taken by the 5 children.

Given that,

Suppose that there are 5 children in a gymnastics class.

One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.

The mean number of steps these children took while walking on their hands is 20 steps.

We have to Identify,

The population and parameter.

According to the question,

Parameters are descriptive measures of an entire population. However, their values are usually unknown because it is infeasible to measure an entire population. Because of this, you can take a random sample from the population to obtain parameter estimates.

The population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research.

The scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.

Parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information.

Here, the mean value of steps obtained from the step counts of the population data is called the parameter.

A parameter is a value that describes a characteristic of an entire population, such as the population mean.

The population mean and standard deviation are two common parameters.

Hence, Population = number of children in gymnastic class = 5.

Parameter = mean number of steps taken by the 5 children.

To know more about Probability click the link given below.

https://brainly.com/question/23135833

What is the volume of the tank?

Answers

Answer:

find the area of the base which is as circle

Base area = pi * R^2 = 3.14 * 400 = 1256

now find the volume by multiplying the base and the height of the tank

Volume = 1256*35= 43960

The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period

Answers

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

What is a test analysis?

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

To know more about a test analysis follow

https://brainly.com/question/22516544

#SPJ2

A triangle has sides with lengths of 21 meters, 70 meters, and 73 meters. Is it a right triangle?

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

It is close, but not exactly a right triangle.

If it were a right triangle, we would have ...

  21² +70² = 73²

We have instead ...

  441 +4900 ≠ 5329

  5341 ≠ 5329 . . . . . . . . not a right triangle

If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
O A.
3
OB.
4
O C.
5
OD.
6
Reset
Next

Answers

Answer:

OD. 6

Step-by-step explanation:

I need work shown as well

Answers

The approximate area would be 49.6

Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?

Answers

[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]

2.
Which expression is equivalent to Xy 2/9

Answers

Answer:

4/18 or divide both by anything or times it

Step-by-step explanation:

2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum

Answers

Answer:

mad- 8.9796

iqr- 15

q1- 88

q2- 92

q3- 103

minimum- 85

maximum- 120

Step-by-step explanation:

the explanation is the picture **sorry i couldn't help with the dot plot**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.



Select all statements that must be true.

Answers

Step-by-step explanation:

the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor

Options 2nd, 3rd and 4th are correct options.

What are similar objects?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

As we know, in similar objects, the ratio of corresponding sides are equal.

Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'

Hence, Options 2nd, 3rd and 4th are correct options.

For more references on similarity, click;

https://brainly.com/question/26451866

#SPJ2

Sarah randomly surveyed 80 students at her school. She found that 15 out of the 80 students she surveyed chose pizza as their favorite school lunch option. If there are 700 students at her school, predict how many students at her school would choose pizza as their favorite lunch option. If the answer you get is a decimal, how do you interpret that?

Answers

Answer:

131

Step-by-step explanation:

15/80 = x/700

80x = 10,500

x = 131.25

you cannot have 0.25 of a person so you must round down to the nearest integer

Use the correct order of operation to solve the following problem 3x (50 - 6^2) ÷ 2 =

Answers

Answer: 21

Step-by-step explanation:

Ok so first of all the numbers in the parentheses go first.

So 6 to the power of 2 (6^2) would be 6x6 which equals 36

50-36=14

After that you just keep rewriting the problem after every step.

Since the 3 is outside of the parentheses, you would multiply it with the 14

3x14=42

Finally 42÷ 2=21

3x (50 - 6^2) ÷ 2 =

        3(14)÷ 2

           42÷ 2= 21

Hope this helps (:

Btw sorry if it's a bit confusing but the answer is 21

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