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 32%. They will use follow up poling to assess the ads' effectiveness. Let p be the proportion of the country's residents who express approval of the dictator's performance. Ho: p = 0.32 Ha P > 0.32 (b) Is an eight-section spinner fair? Let p represent the probability of the spinner landing on any particular section. Ho P= HA: P > (c) Only about 25% of people who try to raise their GPA 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 raise their GPA and succeed. Ho: p 0.25 HA P > 0.25

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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 32%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of the country's residents who express approval
the dictator's performance.
Ha: p = 0.32
Ha: P > 0.32
(b) Is an eight-section spinner fair? Let p represent the probability of the spinner landing on any particular section.
Ho: P =
HA:P
(c) Only about 25% of people who try to raise their GPA 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 raise their GPA
and succeed.
Ho: p = 0.25
HA: P > 0.25
Transcribed Image Text: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 32%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of the country's residents who express approval the dictator's performance. Ha: p = 0.32 Ha: P > 0.32 (b) Is an eight-section spinner fair? Let p represent the probability of the spinner landing on any particular section. Ho: P = HA:P (c) Only about 25% of people who try to raise their GPA 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 raise their GPA and succeed. Ho: p = 0.25 HA: P > 0.25
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