Hypothesis-population proportion

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1. What is the appropriate conclusion based on the outcome of the hypothesis test?

a) There is sufficient statistical evidence that the proportion of car buyers who consider safety to be among the top 3 factors in buying a car is less than 67%

b) There is insufficient statistical evidence that the proportion of car buyers who consider safety to be among the top 3 factors in buying a car is less than 67%

c) There is sufficient statistical evidence that the proportion of car buyers who consider safety to be among the top 3 factors in buying a car is greater than 67%

d) There is insufficient statistical evidence that the proportion of car buyers who consider safety to be among the top 3 factors in buying a car is greater than 67%

2. Let p denote the true (population) proportion of country music fans who think that Willie Nelson is the greatest country music star of all time. Consider the following two hypothesis tests:

Test A: H0 : p ≥ 0:13 vs. HA : p < 0:13.

Test B: H0 : p ≤ 0:15 vs. HA : p > 0:15.

If the same sample and significance level was used for both tests, which of the following is not a possible pair of outcomes?

a) Reject H0 of Test A, but do not reject H0 of Test B.

b) Do not reject H0 of Test A, but reject H0  of Test B.

c) Do not reject H0 of the both tests

d) Reject H0 of the both tests

Reference no: EM1312393

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