MATLAB: An Introduction with Applications
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Author: Amos Gilat
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![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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Transcribed Image Text: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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