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Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Ho : PA = 0.25; PB = 0.1; PC = 0.4; PD 0.25 %3D Expected Frequency Frequency Observed Category A 30 B 12 C 48 26 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x² = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.005 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. Reject the Null Hynothesis

Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Ho : PA = 0.25; PB = 0.1; PC = 0.4; PD 0.25 %3D Expected Frequency Frequency Observed Category A 30 B 12 C 48 26 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x² = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.005 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. Reject the Null Hynothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Но : РА — 0.25; рв — 0.1; Рс — 0.4; рр 3 0.25 Observed Expected Category Frequency Frequency A 30 B 12 48 D 26 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.005 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. O Reject the Null Hvpothesis
Transcribed Image Text:Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Но : РА — 0.25; рв — 0.1; Рс — 0.4; рр 3 0.25 Observed Expected Category Frequency Frequency A 30 B 12 48 D 26 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.005 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. O Reject the Null Hvpothesis
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