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Reject H 0

.4650. Reject H 0. Do not reject H 0. .035. 0. Answer to Question 7. H 0 : H 1 : α =. p = .05. p < .05. .035. Test Statistic:. Z α = -1.81. Solving the equation for we obtain:. Answer to Question 7. If Z computed is greater than -1.81, we do not reject H 0 .

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Reject H 0

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  1. .4650 Reject H0 Do not reject H0 .035 0 Answer to Question 7 H0: H1: α = p= .05 p< .05 .035 Test Statistic: Zα = -1.81

  2. Solving the equation for we obtain: Answer to Question 7 If Zcomputed is greater than -1.81, we do not reject H0. If Zcomputed is less than or equal to -1.81, we reject H0. -1.81 is the critical value that separates the Reject part from the Do not reject part. To work a power(beta) problem that deals with a hypothesis test of the proportion you have to convert the critical value (-1.81 on the Z scale) to the equivalent value of the sample proportion (the scale). To do this you solve the test statistic for . which we cannot solve because we do not know the value of n.

  3. .4650 .4000 Reject H0 Do not reject H0 Reject H0 Do not reject H0 0 .035 0 Answer to Question 7 Zα = -1.81 Reject H0 (Power = .90) Do not reject H0 (Beta = .10) .10 Zβ = 1.28

  4. so use n = 939. Answer to Question 7 Sample Size Formula for the Proportion Based on  and  Risks

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