Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: 0.25: PB= 0.25; pc = 0.4; pp = 0.1 Ho: PA Category Observed Expected Frequency Frequency 22.5 A 28 22.5 B 13 C 29 D 20 20 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=0.025 significance level, what would be the conclusion of this hypothesis test? Reject the Null Hypothesis. O Fail to reject the Null Hypothesis.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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:
0.25: PB= 0.25; pc = 0.4; pp = 0.1
Ho: PA
Category
Observed Expected
Frequency Frequency
22.5
A
28
22.5
B
13
C
29
D
20
20
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=0.025 significance level, what would be the conclusion of this hypothesis
test?
Reject the Null Hypothesis.
O Fail to reject the Null Hypothesis.
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: 0.25: PB= 0.25; pc = 0.4; pp = 0.1 Ho: PA Category Observed Expected Frequency Frequency 22.5 A 28 22.5 B 13 C 29 D 20 20 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=0.025 significance level, what would be the conclusion of this hypothesis test? Reject the Null Hypothesis. O Fail to reject the Null Hypothesis.
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