Identify the indicated values or interpret the given display. Use the normal distribution as an approximation to the binomial distribution (as described in Part 1 of this section). College...

Identify the indicated values or interpret the given display. Use the normal distribution as an approximation to the binomial distribution (as described in Part 1 of this section).

College Applications Online
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?