. Power For a hypothesis test with a specified significance level , the probability of a

Chapter 8, Problem 37

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. Power For a hypothesis test with a specified significance level , the probability of a type I error is , whereas the probability of a type II error depends on the particular value of p that is used as an alternative to the null hypothesis. continued a. Using an alternative hypothesis of p < 0.4 , a sample size of n = 50 , and assuming that the true value of p is 0.25, find the power of the test. SeeExercise 36 in Section 82. (Hint: Use the values p = 0.25 and p q / n = ( 0.25 ) ( 0.75 ) / 50. )b. Find the value of , the probability of making a type II error.c. Given the conditions cited in part (a), what do the results indicate about the effectiveness of the hypothesis test?

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