Historically, the percentage of residents of a certain country who support stricter gun control laws has been 54%. A recent poll of 960 people showed 557 in favor of stricter gun control laws. Assume the poll was given to a random sample of people. Test the claim that the proportion of those favoring stricter gun control has changed. Perform a hypothesis test, using a significance level of 0.05. State the null and alternative hypotheses. A. The population proportion that supports stricter gun control is 0.54, p= _ H,a : p _(<, >) B. The significance level is α=0.05. Choose the one-proportion z-test, and check the conditions. Note that the sample is random and the observations are independent. Next check the Large Sample Size condition. The expected numbers of successes and failures are np0= 960•0.54 = about 518, which is more than 10, and n(1−0.54 =about __, which is more than _ The population size is more than 10 times 960. C. Compute the sample proportion D. what is the z-test statistic and p-value. E. Reject H0 or do not reject H0 and interpret the conclusion. Choose the correct answer below. A. Do not reject H0. The percentage is not significantly different from 54%. B. Do not reject H0. The percentage is significantly different from 54%. C. Reject H0. The percentage is significantly different from 54%. D. Reject H0. The percentage is not significantly different from 54%.

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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Question

Historically, the percentage of residents of a certain country who support stricter gun control laws has been

54%. A recent poll of 960 people showed 557 in favor of stricter gun control laws. Assume the poll was given to a random sample of people. Test the claim that the proportion of those favoring stricter gun control has changed. Perform a hypothesis test, using a significance level of 0.05.

State the null and alternative hypotheses.

A. The population proportion that supports stricter gun control is 0.54, p= ___

H,a : p ___(<, >)

B. The significance level is α=0.05. Choose the one-proportion z-test, and check the conditions. Note that the sample is random and the observations are independent. Next check the Large Sample Size condition. The expected numbers of successes and failures are np0= 960•0.54 = about 518, which is more than 10, and n(1−0.54 =about ____, which is more than ___ The population size is more than 10 times 960.

C. Compute the sample proportion

D. what is the z-test statistic and p-value.

E. Reject H0 or do not reject H0 and interpret the conclusion. Choose the correct answer below.

A. Do not reject H0. The percentage is not significantly different from 54%.

B. Do not reject H0. The percentage is significantly different from 54%.

C. Reject H0. The percentage is significantly different from 54%.

D. Reject H0. The percentage is not significantly different from 54%.