Let x have a binomial clistnbutios with the number of Enials n=10 and with P eittier Y4 or '2. The Null hypeth esns Ho: P=Ź is rejected in faver of the alternative H1 :P=4,if tthe olesewed value of x, a random Sample of Size 1, is les than er equal to 3. ind the Significance level aud Power of tte test.
Let x have a binomial clistnbutios with the number of Enials n=10 and with P eittier Y4 or '2. The Null hypeth esns Ho: P=Ź is rejected in faver of the alternative H1 :P=4,if tthe olesewed value of x, a random Sample of Size 1, is les than er equal to 3. ind the Significance level aud Power of tte test.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Expert Solution
Step 1
Given that X follows Binomial distribution with n=10 trails and p=1/4 or 1/2.
The probability mass function for X is,
Given critical region is, {X1: X1≤3}.
Significance level:
The probability of rejecting the null hypothesis, assuming that the null hypothesis is true.
Thus, the level of significance is 0.1719.
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