In a random sample of 62 students, 34 said they would vote for Jennifer as student body president. In another random sample of 77 students, 48 said they would vote for Kevin as student body President. Using α = 0.05 level of significance to test whether the population of all students, Kevin has a higher proportion of votes.
a) What is the level of significance? State the null and alternate hypotheses.
b) What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?
c) Find the P-value.
d)Will you reject or fail to reject the null hypothesis?
e) State your conclusion in the context of the application.
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