Question: u are conducting a multinomial hypothesis test ( = 0.05) for the claim that all 5 categories are equally likely to be selected. a) Complete
u are conducting a multinomial hypothesis test ( = 0.05) for the claim that all 5 categories are equally likely to be selected. a) Complete the table below.Report all answers accurate to four decimal places. But retain unrounded numbers for future calculations.
| Category | Observed Frequency | Expected Frequency | Squared Pearson Residual |
|---|---|---|---|
| A | 7 | ||
| B | 11 | ||
| C | 15 | ||
| D | 22 | ||
| E | 9 |
b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) 2= What are the degrees of freedom for this test? d.f.= c) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = d) The p-value is...
- less than (or equal to)
- greater than
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
- accept the alternative
e) As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- The sample data support the claim that all 5 categories are equally likely to be selected.
- There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
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