Question

A newspaper reported the results of a survey on the planning habits of men and women. In response to the question​ "What is your preferred method of planning and keeping track of​ meetings, appointments, and​ deadlines?" 54​% of the men and 44​% of the women answered​ "I keep them in my​ head." A nationally representative sample of​ 1,000 adults participated in the​ survey; therefore, assume that 500 were men and 500 were women. Complete parts a through e. a. Set up the null and alternative hypotheses for testing whether the percentage of men who prefer keeping track of appointments in their​ head, p 1​, is larger than the corresponding percentage of​ women, p 2. Choose the correct answer below.

Answer 1

H₀: p₁ - p₂ = 0

H₁: p₁ - p₂ > 0

Explanation:

A null hypothesis is a hypothesis that says that there's no statistical relation between the variables/data.

On the other hand, and alternative hypothesis says that there is a statistical relation between the variables. And this hypothesis is what the researcher wants to prove.

The null and alternative hypotheses are mutually exclusive.

In the present problem, what needs to be tested is whether the percentage of men who prefer keeping track of appointments in their head p₁ is larger than the percentage of women p₂.

Our null hypothesis would be the one that states that there's no statistical relation between p₁ and p₂. In other words, the percentage of men who prefer keeping track in their head is not larger than women's percent. Therefore

H₀: p₁ - p₂ = 0

Our alternative hypothesis would indicate that there is a statistical relation between the variables. Since the researcher wants to prove that a larger percentage of men keep track of appointments in their head in comparison with women, this would be that p₁ is in fact larger than p₂

H₁: p₁ - p₂ > 0