3;1. In a maze running study, a rat is run in a T maze and the result of each run recorded. A reward in the form of food is always placed at the right exit. If learning is taking place, the rat will choose the right exit more often than the left. If no learning is taking place, the rat should randomly choose either exit. Suppose that the rat is given n = 100 runs in the maze and that he chooses the right exit x = 65 times. Would you conclude that learning is taking place? (Use = 0.01.) State the null and alternative hypotheses.

a. H₀: p = 0.65 versus H_a: p 0.65

b. H₀: p < 0.5 versus H_a: p > 0.5

c. H₀: p = 0.5 versus H_a: p 0.5

d. H₀: p = 0.5 versus H_a: p > 0.5

e. H₀: p 0.65 versus H_a: p = 0.65

Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)

z	=
p-value	=

State your conclusion.

a. The p-value is less than alpha, so H₀ is rejected. There is sufficient evidence to indicate that learning is taking place.

b. The p-value is less than alpha, so H₀ is rejected. There is insufficient evidence to indicate that learning is taking place.

c. The p-value is greater than alpha, so H₀ is not rejected. There is sufficient evidence to indicate that learning is taking place.

d. The p-value is greater than alpha, so H₀ is not rejected. There is insufficient evidence to indicate that learning is taking place.

5;2. In a study to assess various effects of using a female model in automobile advertising, 100 men were shown photographs of two automobiles matched for price, colour, and size, but of different makes. One of the automobiles was shown with a female model to n₁ = 50 of the men (group A), and both automobiles were shown without the model to the other n₂ = 50 men

(group B). In group A, the automobile shown with the model was judged as more expensive by x₁ = 39 men;

in group B, the same automobile was judged as the more expensive by x₂ = 26 men. Do these results indicate that using a female model increases the perceived cost of an automobile? Use a one-tailed test with = 0.05.

(Round your answers to two decimal places.) 1-2. Null and alternative hypotheses:

a. H₀: (p₁ p₂) 0 versus

b. H_a: (p₁ p₂) = 0H₀: (p₁ p₂) = 0 versus

c. H_a: (p₁ p₂) < 0 H₀: (p₁ p₂) = 0 versus

d. H_a: (p₁ p₂) 0H₀: (p₁ p₂) = 0 versus H_a: (p₁ p₂) > 0

e. H₀: (p₁ p₂) < 0 versus H_a: (p₁ p₂) > 0

3. Test statistic: z = 4. Rejection region: If the test is one-tailed, enter NONE for the unused region.

z	>
z	<

5. Conclusion:

a. H₀ is not rejected. There is sufficient evidence to indicate that using a female model increases the perceived cost of an automobile.

b. H₀ is rejected. There is insufficient evidence to indicate that using a female model increases the perceived cost of an automobile.

c. H₀ is not rejected. There is insufficient evidence to indicate that using a female model increases the perceived cost of an automobile.

d. H₀ is rejected. There is sufficient evidence to indicate that using a female model increases the perceived cost of an automobile.