- A hypnotist believes that his program can help more the 50% of patients quit smoking. To test this claim, a random sample of 100 patients were monitored for one-year and 57 had quite smoking. Compute the test statistic. - A nutritionist is interested in estimating the proportion of consumers who look to purchase organic produce. How large of a sample would be necessary in order to be 99% confident that the estimate is within 3% of the actual proportion? Determine the necessary sample size.
- Sunshine Air has determined that their no-show rate for passengers booked on a flight is 6%. The Airline has recently increased the cost of its travel insurance and and suspects the no-show rate for passengers will decrease. A random sample of 380 reservations resulted in 18 no-shows. At the 0.10 significance level, is there strong enough sample evidence to suggest that the no-show rate in less than 6%? Conduct the appropriate hypothesis test and compute the p-value.
- A survey of 400 non-fatal accidents revealed that 268 involved a distracted driver using some kind of electronic device. Construct a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device. Construct the requested confidence interval.
- It has been determined with 95% confidence that the proportion of Americans who eat turkey on Thanksgiving is between 0.78 and 0.82. Determine the margin of error associated with this confidence interval.