Here are the observed frequencies from four categories: 5, 6, 8, 13. Assume we want to use a 0.05 significance level to test the claim that the four categories are all equally likely. (Goodness of fit test) What is the null hypothesis? What are the expected frequency for each of the four categories? What is the value of the test statistic? What is the critical value? What do you conclude about the given claim?

Here are the observed frequencies from four categories: 5, 6, 8, 13. Assume we want to use a 0.05 significance level to test the claim that the four categories are all equally likely. (Goodness of fit test) What is the null hypothesis? What are the expected frequency for each of the four categories? What is the value of the test statistic? What is the critical value? What do you conclude about the given claim?

A First Course in Probability (10th Edition)

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...

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A random sample of residents from various income brackets were asked their opinion on tax reform for the country of Guyana. The data so gathered were analyzed by a statistician and the results he obtained using MINITAB are shown below: Expected counts are printed below observed counts Low Middle High Total For 26 7.5 14 115 (30.67) (51.11) (33.21) Against 60 95 105 260 (69.33) (115.56) (75.1) Neutral 34 30 11 75 (20) (33.33) (21.67) Total 120 200 130 450 Given Chi-sq = 0.71 + 11.17 + 11.12 + 1.27 + 3.66…
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11:39 1 A myopenmath.com 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 Category Frequency Frequency A 13 В 11 C 12 17 E 23 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 greater than a
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