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.

To set up the null and alternative hypothesis for this problem, we can start by defining the null hypothesis as the claim of no difference between the proportions of men and women who prefer keeping track of appointments in their heads.

Null Hypothesis (H0): p1 = p2

This means that the proportion of men who prefer keeping track of appointments in their heads is equal to the proportion of women who prefer the same.

The alternative hypothesis, on the other hand, suggests that there is a difference between the proportions of men and women who prefer keeping track of appointments in their heads.

Alternative Hypothesis (H1): p1 ≠ p2

This alternative hypothesis suggests that the proportion of men who prefer keeping track of appointments in their heads is not equal to the proportion of women who prefer the same.

To determine whether the null hypothesis can be rejected or not, we can conduct a hypothesis test using statistical methods. The sample data provided in the problem can be used to calculate the test statistic and p-value, which will help to make a decision regarding the null hypothesis.