(a) A dictator 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 44%. 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 dictator's performance. Ho: P HA: P 0.44 0.44 (b) Is a ten-section spinner fair? Let p represent the probability of the spinner landing on any particular section. Ho: P HA: (c) Only about 19% 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. 10

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 80E
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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 "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 44%. 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 dictator's performance.
Ho: P
HA: P
0.44
0.44
(b) Is a ten-section spinner fair? Let p represent the probability of the spinner landing on any particular
section.
Ho: P
HA P
1
10
Ho: P
HAP
10
(c) Only about 19% 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.
0.19
0.19
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 "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 44%. 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 dictator's performance. Ho: P HA: P 0.44 0.44 (b) Is a ten-section spinner fair? Let p represent the probability of the spinner landing on any particular section. Ho: P HA P 1 10 Ho: P HAP 10 (c) Only about 19% 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. 0.19 0.19
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