An urn contains red balls and blue balls. Let p represent the proportion of red ball We would like to test Ho: p = 0.5 We choose 10 balls at random with replacement and we reject the null hypothesis there are less than 2 or more than 8 red balls in the sample. What is the probabilit of a Type II error if in fact p=0.3? pbinom(7,10,0.3)-pbinom (2,10,0.3) pbinom(8,10,0.3)-pbinom (1,10,0.3) pbinom(8,10,0.3)-pbinom (2,10,0.3)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An urn contains red balls and blue balls. Let p represent the proportion of red balls.
We would like to test
Ho: p = 0.5
We choose 10 balls at random with replacement and we reject the null hypothesis if
there are less than 2 or more than 8 red balls in the sample. What is the probability
of a Type II error if in fact p=0.3?
pbinom(7,10,0.3)-pbinom (2,10,0.3)
pbinom(8,10,0.3)-pbinom (1,10,0.3)
pbinom(8,10,0.3)-pbinom (2,10,0.3)
pbinom(7,10,0.3)-pbinom (1,10,0.3)
Transcribed Image Text:An urn contains red balls and blue balls. Let p represent the proportion of red balls. We would like to test Ho: p = 0.5 We choose 10 balls at random with replacement and we reject the null hypothesis if there are less than 2 or more than 8 red balls in the sample. What is the probability of a Type II error if in fact p=0.3? pbinom(7,10,0.3)-pbinom (2,10,0.3) pbinom(8,10,0.3)-pbinom (1,10,0.3) pbinom(8,10,0.3)-pbinom (2,10,0.3) pbinom(7,10,0.3)-pbinom (1,10,0.3)
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