Test the following hypotheses by using the ?2 goodness of fit test. H0: pA = 0.40, pB = 0.40, and pC = 0.20 Ha: The population proportions are not pA = 0.40, pB = 0.40, and pC = 0.20. A sample of size 200 yielded 120 in category A, 20 in category B, and 60 in category C. Use ? = 0.01 and test to see whether the proportions are as stated in H0. (a) Use the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.Reject H0. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject H0. We conclude that the proportions differ from 0.40, 0.40, and 0.20.Do not reject H0. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail. Round your answers to three decimal places.) test statistic ≤test statistic ≥ State your conclusion. Do not reject H0. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.Do not reject H0. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject H0. We conclude that the proportions differ from 0.40, 0.40, and 0.20.Reject H0. We conclude that the proportions are equal to 0.40, 0.40, and 0.20.

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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Related questions

Question

100%

Test the following hypotheses by using the

?²

goodness of fit test.

H₀:	p_A = 0.40, p_B = 0.40, and p_C = 0.20
H_a:	The population proportions are not p_A = 0.40, p_B = 0.40, and p_C = 0.20.

A sample of size 200 yielded 120 in category A, 20 in category B, and 60 in category C. Use ? = 0.01 and test to see whether the proportions are as stated in

H₀.

(a)

Use the p-value approach.

Find the value of the test statistic.

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

p-value =

State your conclusion.

Do not reject H₀. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.Reject H₀. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject H₀. We conclude that the proportions differ from 0.40, 0.40, and 0.20.Do not reject H₀. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20.

(b)

Repeat the test using the critical value approach.

Find the value of the test statistic.

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

test statistic ≤test statistic ≥

State your conclusion.

Do not reject H₀. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.Do not reject H₀. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject H₀. We conclude that the proportions differ from 0.40, 0.40, and 0.20.Reject H₀. We conclude that the proportions are equal to 0.40, 0.40, and 0.20.

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