Question

At Finy Community College, 63% of the student body are freshmen. A random sample of 42 student names taken from the Dean’s Honor List over the past several semesters showed that 28 were freshmen. Does this indicate the population proportion of freshmen on the Dean’s list is greater than 63%? Use a 1% level of significance.

(a) state the null hypothesis and (b) the alternate hypothesis, (c) State the type of test that you will use to test the hypothesis, degrees of freedom where applicable, and the level of significance, (d) state the critical z or critical t value, (e) state thez-statistic or the t-statistic, (f) state whether we shall reject or fail to reject the null hypothesis, (g) state the relation between the p-value and α with an appropriate inequality and (h) conclude the hypothesis test with an appropriate summarizing statement addressing the alternate hypothesis.

Answer 1