Type the correct answer in each box. Use numerals instead of words.
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards.
If the margin of error is 3.4%, the expected population proportion that prefers to shop at places with loyalty cards is between
96
and
96
Answers
Answer:
1.) 54.6
2.) 61.4
(props to aeh589)
Explanation:
The expected population proportion that prefers to shop at places with loyalty cards is between 54.6% to 61.4% if, in a survey conducted by a retail store, 58% of the sampled respondents said they prefer to shop at places with loyalty cards. If the margin of error is 3.4%
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm Z{score}= \frac{s}{\sqrt{n} }[/tex]
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
The percent of sample respondents = 58%
Margin of error = 3.4%
The expected population that prefers to shop at places with loyalty cards is:
= (58±3.4%)
Take minus sign:
= 54.6%
Take plus sign:
= 61.4%
Thus, the expected population proportion that prefers to shop at places with loyalty cards is between 54.6% to 61.4% if, in a survey conducted by a retail store, 58% of the sampled respondents said they prefer to shop at places with loyalty cards. If the margin of error is 3.4%
Learn more about the Margin of error here:
brainly.com/question/13990500
#SPJ2
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\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=
Rate 1: 5
2
1
%=5+1/2=
\,\,5.5\%\rightarrow 0.055
5.5%→0.055
\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=
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\text{Calculate Final Amount for Kylie}
Calculate Final Amount for Kylie
\overline{\phantom{\text{Calculate Final Amount for Kylie}}}
Calculate Final Amount for Kylie
\text{Compounded Annually:}
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
P=2800\hspace{35px}r=0.055\hspace{35px}t=12
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Use calculator
\text{Calculate Final Amount for Ariana}
Calculate Final Amount for Ariana
\overline{\phantom{\text{Calculate Final Amount for Ariana}}}
Calculate Final Amount for Ariana
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=2800\hspace{35px}r=0.0575\hspace{35px}t=12
P=2800r=0.0575t=12
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A=5582.4035
Use calculator (with e button)
\text{How much more money Ariana has:}
How much more money Ariana has:
5582.4035-5323.381
5582.4035−5323.381
259.0225
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