In a survey of 646 males ages 1864 397 say they have gone to

In a survey of 646 males ages 18-64. 397 say they have gone to the dentist in the past year. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. 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 ) Interpret your results of both confidence intervals. With the given confidence, it can be said that the population proportion of males ages 18-64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval. With the given confidence, it can be said that the population proportion of males ages 18-64 who say they have gone to the dentist in the past year is not between the endpoints of the given confidence interval. With the given confidence, it can be said that the sample proportion of males ages 18-64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval. Which interval is wider? The 90% confidence interval The 95% confidence interval

Solution

p=392/653=0.6003

90% CI

0.6003-1.645*sqrt(0.6003*(1-0.6003)/653), 0.6003+1.645*sqrt(0.6003*(1-0.6003)/653)

0.569, 0.632

95%CI

0.6003-1.96*sqrt(0.6003*(1-0.6003)/653), 0.6003+1.96*sqrt(0.6003*(1-0.6003)/653)

0.563, 0.638

for thirs part answer is option C

with the given confidence it can be said that population proportion of male ages 18-64 who say they have gone to dentist in past year is between end points of given confidence interval