In a survey of 646 males ages1864 395 say they have gone to

In a survey of 646 males ages18-64, 395 say they have gone to the dentist in the past year. Construct 90% and 95% confidence for the population, Interpret the results and compare the width of the confidence intervals. If convenient technology to construct the confidence intervals. The 90% confidence interval for the population proportion p is The 95% confidence interval for the population proportion p is Interpret your results of both confidence intervals. With the given confidence, it can be said that the population proportion of males 18-64 who say they have gone 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. 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 between the endpoint 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