In a survey of 624 males ages 18-64, 390 say they have gone to the dentist in th

Question

In a survey of 624 males ages 18-64, 390 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. 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.) 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 not 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 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 A researcher wishes to estimate, with 99% confidence, the population proportion of adults who are confident with their country's banking system. His estimate must be accurate within 4% of the population proportion. No preliminary estimate is available. Find the minimum sample size needed. Find the minimum sample size needed, using a pria study that found that 38% of the respondents said they are confident with their country's banking system. Compare the results from parts (a) and (b). What is the minimum sample size needed assuming that no prior infamation is available? n = (Round up to the nearest whole number as needed.) What is the minimum sample size needed using a pria study that found that 38% of the respondents said they are confident with their country's banking system? n = (Round up to the nearest whole number as needed.) Hew do the results from (a) and (b) compare? Having an estimate of the population proportion has no effect on the minimum sample size needed. Having an estimate of the population proportion reduces the minimum sample size needed. Having an estimate of the population proportion raises the minimum sample size needed.

Explanation / Answer

QUESTION25

p = 390 / 624 = 0.625 90% confidence interval alpha / 2 = 0.05 Z= 1.64 0.625 +/- 1.64 * SRQT [ 0.625 *0.375 / 624 ] 0.625 +/- 0.0318 0.5932 < P < 0.6568 95% confidence interval alpha / 2 = 0.025 Z=1.96 0.625 +/- 1.96 *SRQT [ 0.625 * 0.375 / 624 ] 0.625 +/- 0.038 0.587 < P < 0.663

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