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 30said yes.

1.)To find the null standard error, the combined sample proportion p is required. Compute p for this situation.

2.)Find the test statistic for this situation. (Round the answer to two decimal places.)

3.)Form a conclusion using the 0.05 level of significance. To form the conclusion, the p-value is required. Compute the p-value. (Round the answer to four decimal places.)