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

MATLAB: An Introduction with Applications
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Q9
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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