Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance α using the given sample statistics. Claim:p≠0.26;α=0.05; Sample statistics:p=0.22,n=200 Can the normal sampling distribution be used? A.No, because np is less than 5. B.No, because nq is less than 5. C.Yes, because both np and nq are greater than or equal to 5. D.Yes, because pq is greater than α=0.05. State the null and alternative hypotheses. A. H0:p≥0.26 Ha:p<0.26 B. H0:p=0.26 Ha:p≠0.26 C. H0:p≤0.26 Ha:p>0.26 D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Fill if necessary A. The critical value(s) is/are= (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. The test cannot be performed. Find the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. z= (Round to two decimal places as needed.) B. The test cannot be performed. What is the result of the test? A.Reject H0. The data provide sufficient evidence to support the claim. B.Fail to reject H0. The data do not provide sufficient evidence to support the claim. C.Reject H0. The data do not provide sufficient evidence to support the claim. D.Fail to reject H0. The data provide sufficient evidence to support the claim. E. The test cannot be performed. B. The test cannot be performed.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance α using the given sample statistics.

Claim:p≠0.26;α=0.05;
Sample statistics:p=0.22,n=200

Can the normal sampling distribution be used?

A.No, because np is less than 5.

B.No, because nq is less than 5.

C.Yes, because both np and nq are greater than or equal to 5.

D.Yes, because pq is greater than

α=0.05.

State the null and alternative hypotheses.

H0:p≥0.26

Ha:p<0.26

H0:p=0.26

Ha:p≠0.26

H0:p≤0.26

Ha:p>0.26

The test cannot be performed.

Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Fill if necessary

The critical value(s) is/are=

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

The test cannot be performed.

Find the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

(Round to two decimal places as needed.)

The test cannot be performed.

What is the result of the test?

A.Reject H0. The data provide sufficient evidence to support the claim.

B.Fail to reject H0. The data do not provide sufficient evidence to support the claim.

C.Reject H0. The data do not provide sufficient evidence to support the claim.

D.Fail to reject H0. The data provide sufficient evidence to support the claim.

The test cannot be performed.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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