You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely%3Dto be selected. Complete the table.Observed ExpectedFrequency FrequencyCategoryA20В1523D.16EReport all answers occurate to three decimal places. But retain unrounded numbers for futurecalculations.What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, andremember to use the unrounded Pearson residuals in your calculations.)What are the degrees of freedom for this test?d.f.=What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...O less than (or equal to) aO greater than aThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the nullO accept the alternativeAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely tobe selected.O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likelyto 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 beselected.B.

Solution: Given information: k= 5 categories n= 20+15+23+16+5 = 79 total observation. To test the…

You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Frequency Frequency Category A 20 B 15 23 16 E 5 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. 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.) What are the degrees of freedom for this test? d.f.- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the nul O accept the null O fail to reject the null O accept the alternative 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. 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 celeste

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...