You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p < 0.75 A sample of 290 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) p = 0.68 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75.Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75.Reject H0. There is sufficient evidence to conclude that p < 0.75. (b) p = 0.71 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75.Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75.Reject H0. There is sufficient evidence to conclude that p < 0.75. (c) p = 0.70 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75.Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75.Reject H0. There is sufficient evidence to conclude that p < 0.75.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Related questions

Question

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

Consider the following hypothesis test.

H₀: p ≥ 0.75

H_a: p < 0.75

A sample of 290 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use

? = 0.05.

(a)

p = 0.68

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

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

p-value =

State your conclusion.

Do not reject H₀. There is insufficient evidence to conclude that p < 0.75.Do not reject H₀. There is sufficient evidence to conclude that p < 0.75. Reject H₀. There is insufficient evidence to conclude that p < 0.75.Reject H₀. There is sufficient evidence to conclude that p < 0.75.

(b)

p = 0.71

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

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

p-value =

State your conclusion.