## null and alternative hypotheses

Problem.
There is a survey of a SRS of students 6 months after the finish of an alochol awareness program. One question, "Do you think that your behavior toward alcohol consumption has changed since the program?" Past experience from the survey is that 30% of the students responding will answer "yes" but you will use your SRS test to see if the true proportion of students at your college who would answer "yes" is greater than .30. The sample size is 200.

Questions.
a) Write down the null and alternative hypotheses
Ho: = .30
Ha: > .30

b) Assume that it is the future, all conditions hold, and the SRS yields 74 students who answer "yes" Calculate the value of the test statistic by writing down the general formula, plugging in all of the appropriate numbers into the formula.

Is this correct?
2.1602

What is the p-value for your test statistic?

Is this correct?
.37

c)Using a significance level of 0.05, give the statistical and real-world conclusions for your test.