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≠0.21;α=0.05;Sample statistics:p=0.16,n=175 Can the normal sampling distribution be used? A.Yes, because both np and nq are greater than or equal to 5.Your answer is correct. B.No, because np is less than 5. C.Yes, because pq is greater thanα=0.05. D.No, because nq is less than 5.State the null and alternative hypotheses. A.H0:p≥0.21Ha:p<0.21 B.H0:p=0.21Ha:p≠0.21This is the correct answer. C.H0:p≤0.21Ha:p>0.21Your answer is not correct. 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. A.The critical value(s) is/arenothing.(Round to two decimal places as needed. Use a comma to separate answers as needed.) B.The test cannot be performed

It is given that sample size (n) is 175 and hypothesized proportion value p is 0.21.

Answered: Decide whether the normal sampling…

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

using the given sample statistics.

Claim:

p≠0.21;

α=0.05;

Sample statistics:

p=0.16,

n=175

Can the normal sampling distribution be used?

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

Your answer is correct.

No, because np is less than 5.

Yes, because pq is greater than

α=0.05.

No, because nq is less than 5.

State the null and alternative hypotheses.

H0:

p≥0.21

Ha:

p<0.21

H0:

p=0.21

Ha:

p≠0.21

This is the correct answer.

H0:

p≤0.21

Ha:

p>0.21

Your answer is not correct.

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.

The critical value(s) is/are

nothing.

(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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