A recent study showed that 53% of college applications were submitted online (based on data from the National Association of College Admissions Counseling). Assume that this result is based on a simple random sample of 1000 college applications, with 530 submitted online. Use a 0.01 significance level to test the claim that among all college applications the percentage submitted online is equal to 50%.

a. What is the test statistic?

b. What are the critical values?

c. What is the P-value?

d. What is the conclusion?

e. Can a hypothesis test be used to “prove” that the percentage of college applications submitted online is equal to 50%, as claimed?