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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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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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