students at a high school are asked to evaluate their experience in the class at the end of each school year. the courses are evaluated on a 1-4 scale – with 4 being the best experience possible. in the history department, the courses typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's. mr. goodman sets a goal to outscore these numbers. at the end of the year he takes a random sample of his evaluations and finds 10 1's, 13 2's, 48 3's, and 52 4's. at the 0.05 level of significance, can mr. goodman claim that his evaluations are significantly different than the history department's?

Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established.
There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.
The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no relationship between two measured occurrences or a connection between groups.
Unless additional evidence has been presented to refute the theory, it is generally accepted that it is true in this context.

Test statistic X2 =1.9196

p value =0.5893

No , as we fail to reject the null hypothesis Mr.Goodman claim that his evaluations are significantly different than the history department.

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