Question: Eighth Question (32 points) It was reported that in a survey of 2003 American adults, 25% said they believed in astrology. (a) (8 points) Calculate

Eighth Question (32 points) It was reported that

Eighth Question (32 points) It was reported that in a survey of 2003 American adults, 25% said they believed in astrology. (a) (8 points) Calculate and interpret a lower confidence bound at the 95% confidence level for the true proportion of all adult Americans who believe in astrology using the traditional formula. (b) (8 points) Can it be concluded at significance level 0.05 that the actual proportion of American adults who believed in astrology is greater than 26%? Interpret your decision. (c) (8 points) If the test of part (b) is used, calculate B(0.30). (d) (8 points) What should the sample size be to ensure that B(0.30) = 0.05? Use a = 0.05

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