A researcher believes that the average distance people live from their favorite restaurant is less than five miles.

1. If she wanted to test this hypothesis, what would be the null and alternative hypotheses for her hypothesis test?

A. H₀:p < 5

H₁: p 5

B. H₀:p = 5

H₁: p 5

C. H₀: < 5

H₁: 5

D. H₀: = 5

H₁: < 5

E. None of the above

2. If the researcher found a p-value of p = 0.001, would she reject or fail to reject the null hypothesis if the significance level is a = 0.05?

A. Fail to reject the null hypothesis since p = 0.001 < 0.05

B. Reject the null hypothesis since p = 0.001 < 0.05

C. Cannot reject or fail to reject the null hypothesis

3. Based on the hypothesis test, what would be the researcher's conclusion?

A. The sample data support that the average distance people live from their favorite restaurant is at least five miles

B. The sample data support that the average distance people live from their favorite restaurant is less than five miles

C. The sample data does not support that the average distance people live from their favorite restaurant is less than five miles

D. People choose to live close to their favorite restaurants.

4. Suppose you wanted to test the hypothesis that the average amount of calories consumed daily differs between males and females. What would your null and alternative hypotheses be for your hypothesis test?

A. H₀:M = F

H₁: M F

B. H₀:p_m < p_f

H₁: p_m p_f

C. H₀:_m = _f

H₁: _{m f}

D. H₀:_m - _f= 0

H₁: _m - _f 0

E. None of the above