6. A researcher wishes to estimate, 99% confidence, the proportion of college professors with laptop computers. Aprevious study shows that 49% of those interviewed had laptop computers. The researcher wishes to be accurate within 3% of the true proportion. Find the minimum sample size necessary.
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- A nutritionist wants to estimate the difference between the percentage of men and women who have high cholesterol. What sample size should be obtained if she wishes the estimate to be within 2 percentage points with 90% confidence, assuming the following? (a) She uses the estimates of 18.8% male and 20.5% female from the National Center for Health Statistics. (b) She does not use any prior estimates.If we want to be within 0.02 of the true proportion of homes that have a direct television receiver and have 98% confidence, how many do we need in our sample? It is believed that 82% of U.S. homes have a direct satellite television receiver.A person wants to know if the proportion of the people in Dubai who commutes to work by public transportation is on the rise. What size sample should be obtained if the person wants an estimate within 2 percentage points of the true proportion with 90% confidence ifa. the person uses the 2010 estimate 10.7% obtained from a previous survey,b. the person does not use any prior estimate
- A researcher wants to estimate, at 92% confidence level, the prportion of covid-19 symptomatic patients have diabetes. The researcher wants to estimate to be within 3% points from the true proportion. What is the sample size needed if we have no pre-estimate of the proportion?3. Why do polling companies often survey 1060 individuals when they wish to estimate a population proportion with a margin of error 3% with 95% confidence?A sociologist wishes to conduct a poll to estimate the percentage of Americans who favor affirmative action programs for women and minorities for admission to college and universities. She wants to use a 2003 estimate of 55% obtained from a Gallup Youth Survey as a prior estimate. What sample size should be obtained if she wishes the estimate to be within 4 percentage points with 90% confidence?
- Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier’s strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpoposupport the economic strategies of the premier. How many people should SABC survey?A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within four percentage points with 90% confidence, assuming that (a) she uses the estimates of 21.8% male and 18.1% female from a previous year? (b) she does not use any prior estimates?A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within two percentage points with 95% confidence, assuming that confidence, assuming that(a) he uses the estimates of 21.9% male and 19.4% female from a previous year?(b) he does not use any prior estimates?