A doctor claims that less than 30 percent of individuals who are exposed to a certain amount of radiation will feel any ill effects. To test her claim, a random sample of individuals who are exposed to such radiation is selected and a hypothesis test is carried out. Suppose the significance level is a = 0.05 and that the true proportion of individuals who are exposed to the radiation and feel any ill effects is 22 percent. What is the sample size for this study to achieve 0.75 for the power of the test?

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A doctor claims that less than 30 percent of individuals who are exposed to a certain amount of radiation will
feel any ill effects. To test her claim, a random sample of individuals who are exposed to such radiation is
selected and a hypothesis test is carried out. Suppose the significance level is a = 0.05 and that the true
proportion of individuals who are exposed to the radiation and feel any ill effects is 22 percent. What is the
sample size for this study to achieve 0.75 for the power of the test?
Transcribed Image Text:A doctor claims that less than 30 percent of individuals who are exposed to a certain amount of radiation will feel any ill effects. To test her claim, a random sample of individuals who are exposed to such radiation is selected and a hypothesis test is carried out. Suppose the significance level is a = 0.05 and that the true proportion of individuals who are exposed to the radiation and feel any ill effects is 22 percent. What is the sample size for this study to achieve 0.75 for the power of the test?
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