For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p20.25; a = 0.08. Sample statistics: p= 0.20, n = 90 Let q = 1-p and let q = 1-p. A normal sampling distribution be used here, since 5 and

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I'm completly lost on the problem. Can you please help me. I'm confused om P and P

For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used,
test the claim.
Claim: p2 0.25; a = 0.08. Sample statistics: p= 0.20, n = 90
Let q = 1-p and let q = 1-p. A normal sampling distribution
be used here, since
15 and
Transcribed Image Text:For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p2 0.25; a = 0.08. Sample statistics: p= 0.20, n = 90 Let q = 1-p and let q = 1-p. A normal sampling distribution be used here, since 15 and
Expert Solution
Step 1

Determine whether the normal sampling distribution can be used or not.

The normal sampling distribution can be used or not is determined below as follows:

Statistics homework question answer, step 1, image 1

 

The value for  and  are both greater than 5, that is both the conditions are satisfied. Since both conditions are satisfied, this implies that all the assumptions have been satisfied.

 

Therefore, it can be concluded that

 

A normal sampling distribution can be used here, since np 5 and nq 5.

 

Step 2

State the hypotheses.

Statistics homework question answer, step 2, image 1

That is, there is no evidence that the true population proportion is less than 0.25.

Statistics homework question answer, step 2, image 2

That is, there is evidence that the true population proportion is less than 0.25.

 

 

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