question 5 using the p value method of hypothesis testing test the fol

Question

QUESTION 5
Using the p-value method of hypothesis testing test the following claim at the
α = 0.05
significance level.
Claim: Less than 40% of students are STEM majors.
• Data: In a sample of 15 students 2 of them are STEM majors.
Of the following choices, which would be the best way to report the results of the hypothesis test.
1. Less than 40% of students are STEM majors (p= .04723, Exact Binomial Test)
2. Less than 40% of students are STEM majors (p= .02711, Exact Binomial Test).
3. Less than 40% of students are STEM majors (p= .03769, Exact Binomial Test).
4. We had expected less than 40% of students to be STEM-majors. In our survey of 15 students, two were STEM majors (13.3%) and this was not statistically significant (p = .4040, Exact Binomial Test).
5. We had expected less than 40% of students to be STEM majors. In our survey of 15 students, two were STEM majors (13.3%) and this was not statistically significant (p = . 0376, Exact Binomial Test).
6. We had expected less than 40% of students to be STEM majors. However, in our survey of 15 students, two were STEM majors (13.3%) which contradicted our expectations.