You may need to use the appropriate technology to answer this question. Test the following hypotheses by using the x² goodness of fit test. Họi PA - 0.40, Pg = 0.40, and Pc = 0.20 H: The population proportions are not p, = 0.40, Pg = 0.40, and Pc = 0.20. A sample of size 200 yielded 20 in category A, 40 in category B, and 140 in category C. Use a = 0.01 and test to see whether the proportions are as stated in Ho. (a) Use the p-value approach. Find the value of the test statistic. 515 Find the p-value. (Round your answer to four decimal places.) p-value = 1.4763 State your conclusion. Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject Ho. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject Ho. We conclude that the proportions differ from 0.40, 0.40, and 0.20.
You may need to use the appropriate technology to answer this question. Test the following hypotheses by using the x² goodness of fit test. Họi PA - 0.40, Pg = 0.40, and Pc = 0.20 H: The population proportions are not p, = 0.40, Pg = 0.40, and Pc = 0.20. A sample of size 200 yielded 20 in category A, 40 in category B, and 140 in category C. Use a = 0.01 and test to see whether the proportions are as stated in Ho. (a) Use the p-value approach. Find the value of the test statistic. 515 Find the p-value. (Round your answer to four decimal places.) p-value = 1.4763 State your conclusion. Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject Ho. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject Ho. We conclude that the proportions differ from 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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Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Test the following hypotheses by using the x goodness of fit test.
Hn: Pa = 0.40, Pn = 0.40, and p, = 0.20
H: The population proportions are not p, = 0.40, pR = 0.40, and p. = 0.20.
A sample of size 200 yielded 20 in category A, 40 in category B, and 140 in category C. Use a = 0.01 and test to see whether the proportions are as stated in Hn:
(a) Use the p-value approach.
Find the value of the test statistic.
515
Find the p-value. (Round your answer to four decimal places.)
p-value = 1.4763
State your conclusion.
O Do not reject Hp. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.
O Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20.
O Reject Hn. We conclude that the proportions are equal to 0.40, 0.40, and 0.20.
O Reject Ho: We conclude that the proportions differ from 0.40, 0.40, and 0.20.
(b) Repeat the test using the critical value approach.
Find
value
f 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 s
test statistic 2
State your conclusion.
O Do not reject Hn. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20.
O Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.
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