n a survey of 2130   adults in a recent​ year, 748   made a New​ Year's resolution to eat healthier.   Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The​ 90% confidence interval for the population proportion p is left parenthesis nothing comma nothing right parenthesis . ​(Round to three decimal places as​ needed.) The​ 95% confidence interval for the population proportion p is left parenthesis nothing comma nothing right parenthesis . ​(Round to three decimal places as​ needed.) With the given​ confidence, it can be said that the ▼   sample proportion population proportion of adults who say they have made a New​ Year's resolution to eat healthier is ▼   less than the upper endpoint not between the endpoints greater than the lower endpoint between the endpoints of the given confidence interval. Compare the widths of the confidence intervals. Choose the correct answer below.     A. The​ 90% confidence interval is wider.   B. The​ 95% confidence interval is wider.   C. The confidence intervals cannot be compared.   D. The confidence intervals are the same width.

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In a survey of

2130
 

adults in a recent​ year,

748
 
made a New​ Year's resolution to eat healthier.
 
Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.
The​ 90% confidence interval for the population proportion p is
left parenthesis nothing comma nothing right parenthesis
.
​(Round to three decimal places as​ needed.)
The​ 95% confidence interval for the population proportion p is
left parenthesis nothing comma nothing right parenthesis
.
​(Round to three decimal places as​ needed.)
With the given​ confidence, it can be said that the
 
sample proportion
population proportion
of adults who say they have made a New​ Year's resolution to eat healthier is
 
less than the upper endpoint
not between the endpoints
greater than the lower endpoint
between the endpoints
of the given confidence interval.
Compare the widths of the confidence intervals. Choose the correct answer below.
 
 
A.
The​ 90% confidence interval is wider.
 
B.
The​ 95% confidence interval is wider.
 
C.
The confidence intervals cannot be compared.
 
D.
The confidence intervals are the same width.
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