For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, α 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: p>0.29; α=0.06. Sample statistics: p=0.36, n=425 Question content area bottom Part 1 Let q=1−p and let q=1−p. A normal sampling distribution can be used here, since npnp greater than or equals≥ 5 and nqnq greater than or equals≥ 5. Part 2 If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. H0: p0.29 0.29 (Round to two decimal places as needed.) Your answer is correct. D. H0: p=enter your response here , Ha: p≠enter your response here (Round to two decimal places as needed.) E. H0: p>enter your response here , Ha: p≤enter your response here (Round to two decimal places as needed.) F. H0: p≠enter your response here , Ha: p=enter your response here (Round to two decimal places as needed.) G. A normal sampling distribution cannot be used. Part 3 If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. z0=enter your response here (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. A normal sampling distribution cannot be used.

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

See similar textbooks

Question content area bottom

Part 1

Let

q=1−p

and let

q=1−p.

A normal sampling distribution

can

be used here, since

npnp

greater than or equals≥

and

nqnq

greater than or equals≥

Part 2

If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

H0:

p<enter your response here

Ha:

p≥enter your response here

(Round to two decimal places as needed.)

H0:

p≥enter your response here

Ha:

p<enter your response here

(Round to two decimal places as needed.)

H0:

p≤0.29

0.29,

Ha:

p>0.29

0.29

(Round to two decimal places as needed.)

Your answer is correct.

H0:

p=enter your response here

Ha:

p≠enter your response here

(Round to two decimal places as needed.)

H0:

p>enter your response here

Ha:

p≤enter your response here

(Round to two decimal places as needed.)

H0:

p≠enter your response here

Ha:

p=enter your response here

(Round to two decimal places as needed.)

A normal sampling distribution cannot be used.

Part 3

If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

z0=enter your response here

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

A normal sampling distribution cannot be used.

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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