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QUESTION 1 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

QUESTION 1

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 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 = .04723, 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 14 students, one was a STEM major (7.3%) and this was not statistically significant (p = .0081, Exact Binomial Test).

4. Less than 40% of students are STEM majors (p =.0081 , Exact Binomial Test).

5. We had expected less than 40% of students to be STEM majors. In our survey of 14 students, one was a STEM major (7.3%) and this was not statistically significant (p = . 8101, Exact Binomial Test).

6. We had expected less than 40% of students to be STEM majors. However, in our survey of 14 students, one was a STEM major (7.3%) which contradicted our expectations.

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