You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ = 100 Ha: μ ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 103 and s = 11.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that μ ≠ 100.Do not reject H0. There is insufficient evidence to conclude that μ ≠ 100. Reject H0. There is sufficient evidence to conclude that μ ≠ 100.Reject H0. There is insufficient evidence to conclude that μ ≠ 100. (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that μ ≠ 100.Do not reject H0. There is insufficient evidence to conclude that μ ≠ 100. Reject H0. There is sufficient evidence to conclude that μ ≠ 100.Reject H0. There is insufficient evidence to conclude that μ ≠ 100. (c) x = 102 and s = 10.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =

a)Given: n=65, x=103 and s=11.5 The test statistic isz=x-μ0s/n=103-10011.5/65=311.5/8.0622=31.4264=2.103 The p-value at z=2.103 is 0.0355. Since, p-value<0.05, reject H0. There is sufficient evidence to conclude that μ ≠ 100.b) Given: n=65, x=96.5 and s=11 The test statistic isz=x-μ0s/n=96.5-10011.5/65=-3.511/8.0622=-3.51.3644=-2.565 The p-value at z=-2.565 is 0.0103. Since, p-value<0.05, reject H0. There is sufficient evidence to conclude that μ ≠ 100.c) Given: n=65, x=102 and s=10.5 The test statistic isz=x-μ0s/n=102-10010.5/65=210.5/8.0622=21.3024=1.536 The p-value at z=1.536 is 0.1245. Since, p-value>0.05, failed to reject H0. There is insufficient evidence to conclude that μ ≠ 100.

Answered: You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ = 100 Ha: μ ≠ 100 A sample of 65 is used.…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

You may need to use the appropriate technology to answer this question.

Consider the following hypothesis test.

H₀: μ = 100

H_a: μ ≠ 100

A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use

? = 0.05.

(a)

x = 103 and s = 11.5

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is sufficient evidence to conclude that μ ≠ 100.Do not reject H₀. There is insufficient evidence to conclude that μ ≠ 100. Reject H₀. There is sufficient evidence to conclude that μ ≠ 100.Reject H₀. There is insufficient evidence to conclude that μ ≠ 100.

(b)

x = 96.5 and s = 11.0

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.