Question

12. In 2010, the CDC reported that average body mass index of US adults was 28. A researcher is interested in determining if the average body mass index of adults in his state is less than 28.
The correct hypotheses in this problem are:

A. Ho: μ < 28
Ha: μ = 28

B. Ho: μ = 28
Ha: μ ≠ 28

C. Ho: μ = 28
Ha: μ < 28

D. Ho: μ ≠ 28
Ha: μ = 28

E. Ho: μ > 28
Ha: μ = 28

F. Ho: μ = 28
Ha: μ > 28

13. The following two hypotheses are tested:
Ho: The proportion of UF students who have seen a dentist this year is 60%
Ha: The proportion of UF students who have seen a dentist this year is less than 60%
A random sample of 400 UF students is taken and 220 have seen a dentist this year. The test statistic for this hypothesis test is

A. 1.02

B. -1.02

C. -3.06

D. 3.06

E. 2.04

F. -2.04

14. The following two hypotheses are tested:
Ho: The proportion of UF students who have abused prescription drugs is 8%
Ha: The proportion of UF students who have abused prescription drugs is more than 8%
If the test statistic is 2.32, the p-value would be

A. 0.0051

B. 0.9898

C. 0.9796

D. 0.0204

E. 0.0102

Answer 1

12)

This is the left tailed test .

The null and alternative hypothesis is

H₀ : = 28

H_a : < 28

13)

Test statistics = -2.04

14)

P(z > 2.32) = 0.0102

P-value = 0.0102