(c) This is an appropriate setting for a chi-square test. Check if the conditions required for a test are satisfied. (Select all that apply.)
The students were not sampled randomly, so we cannot be sure the independence condition is satisfied.
The success-failure condition is satisfied.
The success-failure condition is not satisfied.
Each expected count is greater than 5.
The students were sampled randomly, so the independence condition is satisfied.
(d) Calculate the chi-squared statistic. (Round your answer to two decimal places.)
4.01
X
Calculate the degrees of freedom.
2
X
Calculate the p-value. (Round your answer to three decimal places.)
p-value =
(e) Based on the p-value calculated in part (d), what is the conclusion of the hypothesis test? Interpret your conclusion in this context.
Reject $H_0$. The data do not provide strong evidence that the professor's predictions were statistically inaccurate.
Fail to reject $H_0$. The data do not provide strong evidence that the professor's predictions were statistically inaccurate.
Reject $H_0$. The data provide strong evidence that the professor's predictions were statistically inaccurate.
Fail to reject $H_0$. The data provide strong evidence that the professor's predictions were statistically inaccurate.
