The entrance rate into a prestigious university's graduate program is 13%. A statistics student wants to know if the entrance ra
te 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.
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.