Write the null and alternative hypotheses you would use to test each of the situations in parts (a) through (c). (a) A governor is concerned about his "positives," that is, the percentage of state 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 61%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of state residents who express approval of the governor's performance. Ho: p v0.61 HA:p v0.61 (b) Is a four-sided die fair? Let p represent the probability of the die landing on any particular side. Họ: p Ha P (c) Only about 16% of people who try to eam more money 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 eam more money and succeed. Ho: p v0.16 Ha P V0.16
Write the null and alternative hypotheses you would use to test each of the situations in parts (a) through (c). (a) A governor is concerned about his "positives," that is, the percentage of state 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 61%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of state residents who express approval of the governor's performance. Ho: p v0.61 HA:p v0.61 (b) Is a four-sided die fair? Let p represent the probability of the die landing on any particular side. Họ: p Ha P (c) Only about 16% of people who try to eam more money 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 eam more money and succeed. Ho: p v0.16 Ha P V0.16
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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 governor is concerned about his "positives," that is, the percentage of state 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 61%. They will use follow
up polling to assess the ads' effectiveness. Let p be the proportion of state residents who express approval of the governor's performance.
Ho: P v0.61
HA:P v0.61
(b) Is a four-sided die fair? Let p represent the probability of the die landing on any particular side.
Ho: P
HA:P ▼
(c) Only about 16% of people who try to earn more money 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 earn more money and succeed.
Ho: p v0.16
HA:P
V0.16
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