You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) _________ (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) Using α = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 20. Reject H0. There is insufficient evidence to conclude that μ < 20. Do not reject H0. There is sufficient evidence to conclude that μ < 20. Do not reject H0. There is insufficient evidence to conclude that μ < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤ test statistic ≥_ State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 20. Reject H0. There is insufficient evidence to conclude that μ < 20. Do not reject H0. There is sufficient evidence to conclude that μ < 20. Do not reject H0. There is insufficient evidence to conclude that μ < 20.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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

Consider the following hypothesis test.

H₀: μ ≥ 20

H_a: μ < 20

A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2.

(a)

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

(b)

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

p-value =______________

(c)

Using

α = 0.05,

state your conclusion.

Reject H₀. There is sufficient evidence to conclude that μ < 20.

Reject H₀. There is insufficient evidence to conclude that μ < 20.

Do not reject H₀. There is sufficient evidence to conclude that μ < 20.

Do not reject H₀. There is insufficient evidence to conclude that μ < 20.

(d)

State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic ≤ ________test statistic ≥_______

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that μ < 20.

Reject H₀. There is insufficient evidence to conclude that μ < 20.

Do not reject H₀. There is sufficient evidence to conclude that μ < 20.

Do not reject H₀. There is insufficient evidence to conclude that μ < 20.

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