STAT219 Week 19 Quiz Complete Solution

Question: #1049

A forced-choice design is often used to compare the attractiveness of pheromones to insects. A Y-tube is used. The pheromone is place on one branch; the control on the second branch; and the insect on the third branch. The insect then chooses one of the two branches. Suppose that 45 of 75 insects choose the pheromone branch. The 95% large-sample confidence interval for the proportion of the population that prefers the pheromone branch is:
(a) 0.60 ± 0.06.   (b) 0.60 ± 0.11.   (c) 0.60 ± 0.006.   (d) 0.60 ± 0.14.

A forced-choice design is often used to compare the attractiveness of pheromones to insects. A Y-tube is used. The pheromone is placed on one branch, the control on the second branch, and the insect on the third branch. The insect then chooses one of the two branches. Suppose that 45 of 75 insects choose the pheromone branch. What is the z-score for testing the hypothesis of no-preference?
(a) 1.73   (b) 1.76   (c) 10.60   (d) 10.40

A forced-choice design is often used to compare the attractiveness of pheromones to insects. A Y-tube is used. The pheromone is placed on one branch, the control on the second branch, and the insect on the third branch. The insect then chooses one of the two branches. Suppose that 45 of 75 insects choose the pheromone branch. The null and alternative hypotheses for testing the hypothesis of no preference are:
(a)     (b)     (c)     (d)

A forced-choice design is often used to compare the attractiveness of pheromones to insects. A Y-tube is used. The pheromone is placed on one branch, the control on the second branch, and the insect on the third branch. The insect then chooses one of the two branches. Suppose that 45 of 75 insects choose the pheromone branch. What is the p-value for the hypothesis test of no preference?
(a) 0.64   (b) 0.05   (c) 0.015   (d) 0.008

A forced-choice design is often used to compare the attractiveness of pheromones to insects. A Y-tube is used. The pheromone is placed on one branch, the control on the second branch, and the insect on the third branch. The insect then chooses one of the two branches. What sample size would be needed to ensure that the margin of error in the preference is less than 5 percentage points in more than 95% of experiments?
(a) 20   (b) 384   (c) 40   (d) 1500

A forced-choice design is often used to compare the attractiveness of pheromones to insects. A Y-tube is used. The pheromone is placed on one branch, the control on the second branch, and the insect on the third branch. The insect then chooses one of the two branches. Suppose that 45 of 75 insects choose the pheromone branch. The 95% plus-four confidence interval for the proportion of the population that prefers the pheromone branch is:    (a) 0.59 ± 0.06.   (b) 0.59 ± 0.11.   (c) 0.59 ± 0.006.   (d) 0.59 ± 0.14.

A farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. Of a random sample of 100 blooms, 77 yield marketable strawberries. Is this evidence that two thirds or more of all blooms grown with this pest control method end up as marketable strawberries? The hypotheses for this problem are:
(a) .   (b) .   (c) .   (d) .

A farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. Of a random sample of 100 blooms, 77 yield marketable strawberries. Is this evidence that two thirds or more of all blooms grown with this pest control method end up as marketable strawberries? The 95% large-sample confidence interval for the proportion of blooms that yield marketable strawberries is:    (a) 0.77 ± 0.042.   (b) 0.77 ± 0.082.   (c) 0.77 ± 0.0034.   (d) 0.77 ± 0.0017.

A farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. In a pilot study of a random sample of 100 blooms, 77 yield marketable strawberries. What sample size should be used for a future study to ensure that the margin of error is less than 5 percentage points, 95% of the time?
(a) 1537   (b) 384   (c) 272   (d) 256

A farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. Of a random sample of 100 blooms, 77 yield marketable strawberries. Is this evidence that two thirds or more of all blooms grown with this pest control method end up as marketable strawberries? The z-statistic for the hypothesis is:
(a) 1.96.   (b) 2.19.   (c) 1.73.   (d) 1.47.