Question

Is the proportion of men who write a shopping list before going shopping less than the proportion of women who do so? Let p1 and p2 represent the population proportions of men and women, respectively, who use shopping lists. Suppose a random sample of 50 men and 50 women was asked if they use a shopping list when they have more than ten items to buy. Of the 50 men, 20 said yes and of the 50 women 30 said yes.

Answer 1

Answer:

The proportion of women that make the list is higher than the proportion of men.

Explanation:

Giving the following information:

Let p1 and p2 represent the population proportions of men and women, respectively, who use shopping lists. Suppose a random sample of 50 men and 50 women was asked if they use a shopping list when they have more than ten items to buy. Of the 50 men, 20 said yes and of the 50 women 30 said yes.

We need to calculate the proportions of each gender that said 'yes':

p1= 20/50= 0.4

p2= 30/50= 0.6

The proportion of women that make the list is higher than the proportion of men.