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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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.
Transcribed Image Text: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.
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,

Statistics homework question answer, step 1, image 1

Given critical region is, {X1: X1≤3}.

 

Significance level:

The probability of rejecting the null hypothesis, assuming that the null hypothesis is true.

Statistics homework question answer, step 1, image 2

Thus, the level of significance is 0.1719.

 

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