Students from two different statistics classes reported their gender (male or fe
ID: 2909310 • Letter: S
Question
Students from two different statistics classes reported their gender (male or female) and recorded which class they were taking. One class is for liberal arts students, and the other is for nonliberal-arts students. The results for the 177 students are given below. In each cell, the observed counts are printed first, with the expected counts below them. Assume that these students are a representative sample of all students who would take either class. (?SHOW YOUR WORK)
(c) Compute the value of the chi-square test statistic, ?2. (Round the answer to the nearest thousandth.)
?2 =
(d) Find the p-value for the chi-square statistic found in part (c). (Round the answer to the nearest thousandth.)
p =
84.71 11
13.29 98
98.00 Male 66
68.29 13
10.71 79
79.00 All 153
153.00 24
24.00 177
177.00
Explanation / Answer
c) The chisquare contribution values are
Test Statistic, X^2: 1.0212
d)
P-Value: 0.3122 which is > alpha 0.05 so we accept H0
Thus we conclude that there is no relation ship between Gender and lib art
Oi Ei (Oi-Ei)^2 /Ei 87 84.712 0.0618 11 13.288 0.394 66 68.288 0.0767 13 10.712 0.4887 Total: 1.0212