Question

Who Are Better Drivers? Do you consider yourself a "better" driver than most other drivers? Do you believe that men and women might answer this question differently? Discuss how you might collect information to test the following conjectures. For each conjecture, state specifically the null H0 and alternative HA hypotheses that would be of interest.
(a) Conjecture: More than 70% of male drivers think they are "better" drivers than most other drivers.
(b) Conjecture: Fewer than 70% of women drivers think they are "better" drivers than most other drivers.
(c) Conjecture: The percentage of male drivers who think they are "better" drivers than most other drivers is higher than the corresponding percentage for women drivers.

Answer 1

Answer:

Yes, men and women will answer this question differently.

Explanation:

The null and alternative hypothesis of interest for each conjecture would be:

(A) Conjecture: More than 70% of male drivers think they are "better" drivers than most other drivers.

H0: Less than 70% of male drivers are better drivers than most other drivers

HA: More than 70% of male drivers are better drivers than most other drivers

(B) Conjecture: Fewer than 70% of women drivers think they are "better" drivers than most other drivers.

H0: More than 70% of women are better drivers than most other drivers

HA: Fewer than 70% of women are better drivers than most other drivers

(C) Conjecture: The percentage of male drivers who think they are "better" drivers than most other drivers is higher than the corresponding percentage for women drivers.

H0: There is a lower % of male drivers who think they are better than most other drivers than the corresponding % for female drivers

HA: There is a higher % of male drivers who think they are better than most other drivers, than the corresponding % for female drivers

NOTE: In A and B, you measure the actual percentage of male and female drivers who are good at driving but in C, you measure the percentage of male drivers who think they are better than most other drivers and compare it to the percentage of female drivers who think they are better than most other drivers.