A student believes that no more than 25% (i.e., ≤25%) of the students who finish a statistics course get an A. A random sample of 81 students was taken. Twenty-four percent of the students in the sample received 'A's.
a. State the null and alternative hypotheses and using the critical value approach, test the hypotheses at the 1% level of significance.
b. Using the p-value approach, test the hypotheses at the 1% level of significance
The estimated proportion is
a)We have to test
The test statistic is
The critical value is
Since , we fail to reject the null hypothesis.
b)The P-value of the test is
Since , we fail to reject the null hypothesis.
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