Question

The entrance rate into a prestigious university's graduate program is 13%. A statistics student wants to know if the entrance rate of applicants from BYU-Idaho is greater than the typical entrance rate. He decides to conduct a hypothesis test of one proportion to determine whether the entrance rate of BYU-Idaho students into the graduate program is higher than 13%. He randomly selects 60 students who have applied and records whether or not each student was admitted. Were the requirements for the hypothesis test met? Explain.

Answer 1

Answer:

The requirements for the hypothesis test are not met

Step-by-step explanation:

We have the following information from the statement:

sample size = n = 60

Probability = p = 13% = 0.13

Now, we calculate the multiplication of this which would be:

n * p = 60 * (0.13) = 7.8 which is less than 10

Therefore the requirements for the hypothesis test are not met, since the multiplication of n by p would have to be greater than 10 for it to be met, but this is not the case.