8 An important factor for Japanese farmers is the amount of rice consumed in Japan. Recent findings indicate that urban Japanese are eating less rice every year, while they are eating more meat and dairy products. A Japanese farmers' organization wants to test the null hypothesis that 80% of Japanese families eat rice at least five times a week against the alternative hypothesis that less than 80% of Japanese families eat rice at least five times a week. Designers of the survey want to have a 0.95 probability of rejecting the null hypothesis if 75% of the Japanese families eat rice at least five times a week. The test is carried out at a = 0.05. How large should the sample be?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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8 An important factor for Japanese farmers is the amount of rice consumed in Japan.
Recent findings indicate that urban Japanese are eating less rice every year, while they
are eating more meat and dairy products. A Japanese farmers' organization wants to test
the null hypothesis that 80% of Japanese families eat rice at least five times a week against
the alternative hypothesis that less than 80% of Japanese families eat rice at least five
times a week. Designers of the survey want to have a 0.95 probability of rejecting the null
hypothesis if 75% of the Japanese families eat rice at least five times a week. The test is
carried out at a = 0.05. How large should the sample be?
Transcribed Image Text:8 An important factor for Japanese farmers is the amount of rice consumed in Japan. Recent findings indicate that urban Japanese are eating less rice every year, while they are eating more meat and dairy products. A Japanese farmers' organization wants to test the null hypothesis that 80% of Japanese families eat rice at least five times a week against the alternative hypothesis that less than 80% of Japanese families eat rice at least five times a week. Designers of the survey want to have a 0.95 probability of rejecting the null hypothesis if 75% of the Japanese families eat rice at least five times a week. The test is carried out at a = 0.05. How large should the sample be?
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