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 alpha using the given sample statistics. Claim: pless than 0.12 ; alpha equals0.10 ; Sample statistics: ModifyingAbove p with caret equals0.08 , nequals 25 Can 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. C. No, because nq is less than 5. D. Yes, because pq is greater than alpha equals0.10 . State the null and alternative hypotheses. Choose the correct answer below. A. H0: pless than or equals 0.12 Ha: pgreater than 0.12 B. H0: pgreater than or equals 0.12 Ha: pless than 0.12 C. H0: pequals 0.12 Ha: pnot equals 0.12 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/are nothing . (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. zequals nothing (Round to two decimal places as needed.) B. The test cannot be performed. What is the result of the test? A. Fail to reject Upper H 0 . The data do not provide sufficient evidence to support the claim. B. Reject Upper H 0 . The data do not provide sufficient evidence to support the claim. C. Fail to reject Upper H 0 . The data provide sufficient evidence to support the claim. D. Reject Upper H 0 . The data provide sufficient evidence to support the claim. E. The test cannot be performed.

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

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

alpha

using the given sample statistics.

Claim:

pless than

0.12

;

alpha

equals0.10

;

Sample statistics:

ModifyingAbove p with caret

equals0.08

nequals

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.

No, because nq is less than 5.

Yes, because pq is greater than

alpha

equals0.10

State the null and alternative hypotheses. Choose the correct answer below.

H0:

pless than or equals

0.12

Ha:

pgreater than

0.12

H0:

pgreater than or equals

0.12

Ha:

pless than

0.12

H0:

pequals

0.12

Ha:

pnot equals

0.12

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.

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

zequals

nothing

(Round to two decimal places as needed.)

The test cannot be performed.

What is the result of the test?

Fail to reject

Upper H 0

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

Reject

Upper H 0

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

Fail to reject

Upper H 0

The data provide sufficient evidence to support the claim.

Reject

Upper H 0

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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