QUESTION 2

Using the p-value method of hypothesis testing test the following claim at the

alpha =0.05

significance level.

Claim: Less than 40% of students are STEM majors. Data: In a sample of 14 students 7 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 = .01892, Exact Binomial Test).

3. Less than 40% of students are STEM majors (p = .03979 , Exact Binomial Test).

4. We had expected less than 40% of students to be STEM majors. In our survey of 14 students, 7 were STEM majors (50%) 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 14 students, 7 were STEM majors (50%) 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 14 students, 7 were STEM majors (50%) which contradicted our expectations.

QUESTION 7 If we conduct a hypothesis test at the

alpha=0.05

significance level and the p-value = .2169

the sample

(1) provides statistically significant evidence that the claim is true

(2) proves that the claim is true

(3) fails to provide statistically significant evidence that the claim is true

(4) proves that the claim is false