QUESTION 8

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 15 students 10 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, ten were STEM majors (66.7%) 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, ten were STEM majors (66.7%) 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, ten were STEM majors (66.7%) which contradicted our expectations.

QUESTION 9

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 4 students 1 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 = .4752, Exact Binomial Test)

2. Less than 40% of students are STEM majors (p = .01892, Exact Binomial Test).

3. We had expected less than 40% of students to be STEM majors. In our survey of 4 students, one was a STEM major (25%) and this was not statistically significant (p = .4752, Exact Binomial Test).

4. Less than 40% of students are STEM majors (p = .0475, Exact Binomial Test).

5. We had expected less than 40% of students to be STEM majors. In our survey of 4 students, one was a STEM major (25%) and this was not statistically significant (p = . 0475, Exact Binomial Test).

6. We had expected less than 40% of students to be STEM majors. However, in our survey of 1 students, one was a STEM major (25%) which contradicted our expectations.