Respuesta :
There is no statistically significant difference between Mr. Goodman’s evaluations and the History Department’s as we fail to reject the null hypothesis and value of p in which p-value = 0.5893.
H0: There is no difference in Mr. Goodman’s evaluations and the History Department’s
H- There is a significant difference between Mr. Goodman’s evaluations and the History Department’s
Applying the chi-square test:
relative observed expected residual Chisquare
Cat frequency(p) Oi Ei=total x p R2i=(Oi-Ei)/√Ei R2i=(Oi-Ei)2/Ei
1's 0.100 11.000 12.500 -0.42 0.180
2's 0.150 14.000 18.750 -1.10 1.203
3's 0.340 47.000 42.500 0.69 0.476
4's 0.410 53.000 51.250 0.24 0.060
total 1.000 125 125 1.9196
Through the attached file as well as shown above we get the value of X2 equal to 1.9196.
Test statistic X2 = 1.9196.
P value through Chi-Square Distribution table = 0.5893
No, it can't be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s as we fail to reject the null hypothesis.
To learn more about the chi-square test visit: https://brainly.com/question/14082240
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