Set up the null and alternative hypothesis for the following problem.
A survey reported the planning habits of men and women. The question asked, "how do you primarily keep track of meetings, appointments and deadlines?" 56% of men and 46% of women answered, "in my head."
Let p1 = proportion of men who prefer keeping track of appointments in their heads and p2 = proportion of women who prefer keeping track of appointments in their heads.
Before you have gathered any data, these would be your hypotheses.
Ho: p1 = p2
Ha: p1 ≠ p2
In this problem, we want to compare the proportion of men and women who prefer keeping track of appointments in their heads.
The null hypothesis (H0) is a statement of no difference or no effect. In this case, the null hypothesis would be:
p1 = p2
The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis and suggests that there is a difference or effect. In this case, the alternative hypothesis would be:
p1 ≠ p2
So, the null and alternative hypotheses can be stated as follows:
H0: p1 = p2
Ha: p1 ≠ p2