Question

Write the null and alternative hypotheses you would use to test each of the situations in parts​ (a) through​ (c).

(a) A prime ministerprime minister is concerned about his "negatives," that is, the percentage of the country's residents who express disapproval of his job performance. His political committee pays for a series of TV ads, hoping that they can keep the negatives below 35%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of the country's residents who express disapproval of the prime minister's performance.

H₀: p (pick: <, >, =, ≠) 0.35

H_A: p (pick: <, >, =, ≠) 0.35

b) Is an eight-sided die fair? Let p represent the probability of the die landing on any particular side.

H₀: p (pick: <, >, =, ≠) 1/8

H_A: p (pick: <, >, =, ≠) 1/8

c) Only about 30% of people who try to stop abusing alcohol succeed. Sellers of a motivational tape claim that listening to the recorded messages can help people succeed. Let p be the proportion of people who try to stop abusing alcohol and succeed.

H₀: p (pick: <, >, =, ≠) 0.30

H_A: p(pick: <, >, =, ≠) 0.30

Answer 1

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