In a survey of 2002 adults in a recent​ year, 702 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 ,. ​(Round to three decimal places as​ needed.) The​ 95% confidence interval for the population proportion p is ,. ​(Round to three decimal places as​ needed.) With the given​ confidence, it can be said that the ▼   population proportion sample proportion of adults who say they have made a New​ Year's resolution to eat healthier is ▼   greater than the lower endpoint not between the endpoints less than the upper 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
2002
adults in a recent​ year,
702
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
,.
​(Round to three decimal places as​ needed.)
The​ 95% confidence interval for the population proportion p is
,.
​(Round to three decimal places as​ needed.)
With the given​ confidence, it can be said that the
 
population proportion
sample proportion
of adults who say they have made a New​ Year's resolution to eat healthier is
 
greater than the lower endpoint
not between the endpoints
less than the upper 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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