Write the null and alternative hypotheses you would use to test each of the situ

Question

Write the null and alternative hypotheses you would use to test each of the situations in parts (a) through (c). (a) A dictator is concerned about his "positives, " that is, the percentage of the country's residents who express approval of his job performance. His political committee pays for a series of TV ads, hoping that they can keep the positives above 48%. They will use follow up polling to assess the ads' effectiveness. H_0: p 0.48 H_A: p 0.48 (b) Is a four-section spinner fair? H_0: p 1/4 H_A: p 1/4 (c) Only about 30% of people who try to influence people succeed. Sellers of a motivational tape claim that listening to the recorded messages can help people succeed. H_0: p 0.30 H_A: p 0.30

Explanation / Answer

Solution:-

a)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: P < 0.48
Alternative hypothesis: P > 0.48

b)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: P = 0.25
Alternative hypothesis: P 0.25

c)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: P = 0.30
Alternative hypothesis: P 0.30

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