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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.