Instructor: Ami Gates ten:Dzenaila RizvanovicC ate: 02/28/18 Print Course: EST27

Question

Instructor: Ami Gates ten:Dzenaila RizvanovicC ate: 02/28/18 Print Course: EST2703 Term: Spring 1 Assignment: Week 8 Hor 2018 . Use the following contingency table to complete (a) and (b) below C Total 90 60 160 Tota 60 85 05 250 10 50 35 50 45 a. Compute the expected frequencies for each cell Type integers or decimals) STAT Set up the null and alternative hypotheses to test. Choose the correct answer below OB. Ho Not all s, are equal (where j 1,2) H1 Not all are equal (where= 1, 2) O D. Ho Not all are equal (where=A, B, C) HI H1 Not all xi are equal (where,-AB. C) - -3c Computex TAT Round to three decimal places as needed) STAT Find the p-value p-value Round to three decimal places as needed) Is O A. B. No, because the p-value is greater than or equal to the level of significance No, because the p-value is less than the level of significance lOC. Yes, because the p-value is greater than or equal to the level of significance Yes, because the p-value is less than the level of significance D.

Explanation / Answer

a. Exxpected frequency

b. Here x2stat = 12.865

It is calculated by x2stat = (O - E)2/E

Here p- value =  0.0016

Here critical value ; for dF = 2 and alpha = 0.005

X2critical = 10.5966

so here X2 > X2critical so we reject the null hypothesis and the chi - square statistic is significant here asp - value is less then the level of significance.

A B C total 1 21.6 30.6 37.8 90 2 38.4 54.4 67.2 160 total 60 85 105 250

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