Question

Write the null and alternative hypotheses you would use to test each of the situations in parts (a) through (c). (a) A mayor is concerned about his "negatives," that is, the percentage of city 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 34%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of city residents who express disapproval of the mayor's performance. H0: p = 0.34 HA: p < 0.34 (b) Is a four-sided die fair? Let p represent the probability of the die landing on any particular side. H0: p = 1/4 HA: p ? 1/4 (c) Only about 25% of people who try to gain self-confidence 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 gain self-confidence and succeed. H0: p = 0.25 HA: p > 0.25

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

(a) A mayor is concerned about his "negatives," that is, the percentage of city 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 34%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of city residents who express disapproval of the mayor's performance.

H0: p = 0.34
HA: p < 0.34

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

H0: p = 1/4
HA: p ? 1/4

(c) Only about 25% of people who try to gain self-confidence 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 gain self-confidence and succeed.

H0: p = 0.25
HA: p > 0.25

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

(a) A mayor is concerned about his "negatives," that is, the percentage of city 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 34%. They will use follow up polling to assess the ads' effectiveness. Let p be the proportion of city residents who express disapproval of the mayor's performance.

H0: p = 0.34
HA: p < 0.34

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

H0: p = 1/4
HA: p ? 1/4

(c) Only about 25% of people who try to gain self-confidence 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 gain self-confidence and succeed.

H0: p = 0.25
HA: p > 0.25

Added by Emily C.

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