You are conducting a multinomial Goodness of Fit Hypothesis Test (a = 0.05) for the claim that all 5 categories are equa
Posted: Wed May 11, 2022 1:40 pm
You are conducting a multinomial Goodness of Fit Hypothesis Test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Category Frequency Frequency A 15 B 15 с 15 D 20 E 10 Report all answers to the indicated number of decimal places. a) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places.) x? = C b) 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... O less than (or equal to) a O greater than a
e) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative f) As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
e) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative f) As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.