For questions that require explanation, please explain your answers in detail.

@ You want to determine the percentage of seniors who drive to campus. You take a random sample of 125 seniors and ask them if they drive to campus. Your 95% confidence interval turns out to be from 0.69 to 0.85. Select each correct interpretation of this situation. There might be no, one, or more than one correct statement. Explain, the reason if it is not a correct interpretation.

a.77% of the seniors in your sample drive to campus.

b.95% of all seniors drive to campus from 69% to 85% of the time, and the rest drive more frequently or less frequently.

c.If the sampling were repeated many times, you would expect 95% of the resulting samples to have a sample proportion that falls in the interval from 0.69 to 0.85.

d.If the sampling were repeated many times, you would expect 95% of the resulting confidence intervals to contain the proportion of all seniors who drive to campus.

e.You are 95% confident that the proportion of seniors in the sample who drive to campus is between 0.69 and 0.85.

f.You are 95% confident that the proportion of all seniors who drive to campus is in the interval from 0.69 to 0.85.

g.All seniors drive to campus an average of 77% of the time.

h.A 90% confidence interval would be narrower than the interval given.

@ To prepare for a nationwide advertising campaign, a survey of a random sample of U.S. adults was conducted to determine what cell phone services adults prefer. The results of the survey showed that 73% of the adults wanted email service, with a margin of error of plus or minus 4%. Which of these sentences explains most accurately what is meant by "plus or minus 4%"? Explain.

a.They estimate that 4% of the population surveyed might change their minds between the time the poll is conducted and the time the survey is published.

b.There is a 4% chance that the true percentage of adults who want email service is not in the confidence interval from 69% to 77%.

c.Only 4% of the population was surveyed.

d.To get the observed sample proportion of 73% would be unlikely unless the actual percentage of all adults who want email service is between 69% and 77%.

e.The probability that the sample proportion is in the confidence interval is 0.04.

@ Suppose a large random sample, with n = 100, is going to be taken from a population of 6-year-old girls. A 90% confidence interval will be constructed to estimate the population mean height. A smaller random sample, with n = 50, will also be taken from the same population of 6-year-old girls, and a 99% confidence interval will be constructed to estimate the population mean height. Which confidence interval has a better chance of capturing the population's mean height? please explain your answers in detail.

a.The 90% confidence interval based on a sample of 100 heights has a better chance.

b.The 99% confidence interval based on a sample of 50 heights has a better chance.

c.Both methods have an equal chance.

d.You can't determine which method will have a better chance.

For questions that require explanation, please explain your answers in detail.

Please. show me your all works. Thanks.