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 0.2; рв — 0.3%; Рс 0.4; pp 0.1 Expected Frequency Frequency Observed Category A 15 26 32 16 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 Hypothesis. B.

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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 = 0.2; PB
0.3; рс
0.4; pp 0.1
Оbserved
Expected
Frequency Frequency
Category
A
15
В
26
32
D
16
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 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: Ho : PA = 0.2; PB 0.3; рс 0.4; pp 0.1 Оbserved Expected Frequency Frequency Category A 15 В 26 32 D 16 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 Hypothesis.
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