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 significanceαusing the given sample statistics.Claim:p≠0.28;α=0.01;Sample statistics:p=0.26,n=200 Question content area bottomPart 1Can the normal sampling distribution be used? A.No, because np is less than 5. B.Yes, because both np and nq are greater than or equal to 5.Your answer is correct. C.Yes, because pq is greater thanα=0.01. D.No, because nq is less than 5.Part 2State the null and alternative hypotheses. A.H0:p≤0.28Ha:p>0.28 B.H0:p=0.28Ha:p≠0.28Your answer is correct. C.H0:p≥0.28Ha:p<0.28 D.The test cannot be performed.Part 3Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.The critical value(s) is/areenter your response here.(Round to two decimal places as needed. Use a comma to separate answers as needed.) B.The test cannot be performed.

Given information: p≠0.28; α=0.01; Sample statistics: p=0.26, n=200

Answered: Decide whether the normal sampling…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question content area bottom

Part 1

Can the normal sampling distribution be used?

No, because np is less than 5.

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

Your answer is correct.

Yes, because pq is greater than

α=0.01.

No, because nq is less than 5.

Part 2

State the null and alternative hypotheses.

H0:

p≤0.28

Ha:

p>0.28

H0:

p=0.28

Ha:

p≠0.28

Your answer is correct.

H0:

p≥0.28

Ha:

p<0.28

The test cannot be performed.

Part 3

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

The critical value(s) is/are

enter your response here.

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

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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