The U.S. Transportation Security Administration (TSA) screens approximately 1.8 million travelers in the nation’s airports each day. All carry-on and checked baggage is carefully screened, and every...

The U.S. Transportation Security Administration (TSA) screens approximately 1.8 million travelers in the nation’s airports each day. All carry-on and checked baggage is carefully screened, and every passenger must pass through a metal detector or an advanced imagingtechnology scanner. The agency claims that approximately 3% of all passengers are patted down.31 In a random sample of 478 airline passengers, 31 were patted down.

 a. Find a 99% confidence interval for the true proportion of airline passengers who are patted down.

 b. Is there any evidence to suggest the TSA claim is false? Justify your answer.

The 2013 Global Management Education Graduate Survey asked students in 159 business schools from 33 countries several questions about their job search. Approximately 60% of job seekers reported that they had an offer of employment.32 A random sample of graduate students in their final year at business schools in the Northeast was asked whether they had a job offer. The resulting data are given in the table below, by degree program.

a. Find a 99% confidence interval for the true proportion of graduate business students who have a job offer for each degree program.

b. Is there any evidence to suggest that the true proportion of MFin graduate business students who have a job offer is different from that in either of the other two degree programs? Justify your answer.