You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:$ H_0: p_A = 0.25; \, p_B = 0.25; \, p_C = 0.4; \, p_D = 0.1 $Complete the table. Report all answers accurate to three decimal places.| Category | Observed Frequency | Expected Frequency | Residual ||----------|--------------------|--------------------|----------|| A | 33 | | || B | 28 | | || C | 36 | | || D | 16 | | |What is the chi-square test-statistic for this data?\[\chi^2 = \]For significance level alpha 0.01, what is the chi-square Critical Value?Critical Value = What would be the conclusion of this hypothesis test?- $ \circ $ Fail to reject the Null Hypothesis- $ \circ $ Reject the Null HypothesisReport all answers accurate to three decimal places. Question Help: Message instructor

Solution: Given data: Category O A 33.0 B 28.0 C 36.0 D 16.0 Null and alternative…

What is the chi-square test-statistic for this data? For significance level alpha 0.01, what is the chi-square Critical Value? Critical Value = %3D What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis

What is the chi-square test-statistic for this data? For significance level alpha 0.01, what is the chi-square Critical Value? Critical Value = %3D What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis

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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Question

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

$ H_0: p_A = 0.25; \, p_B = 0.25; \, p_C = 0.4; \, p_D = 0.1 $

Complete the table. Report all answers accurate to three decimal places.

| Category | Observed Frequency | Expected Frequency | Residual |
|----------|--------------------|--------------------|----------|
| A | 33 | | |
| B | 28 | | |
| C | 36 | | |
| D | 16 | | |

What is the chi-square test-statistic for this data?

\[
\chi^2 =
\]

For significance level alpha 0.01, what is the chi-square Critical Value?

Critical Value =

What would be the conclusion of this hypothesis test?
- $ \circ $ Fail to reject the Null Hypothesis
- $ \circ $ Reject the Null Hypothesis

Report all answers accurate to three decimal places.

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