1.. For the following two samples, what is the value of s_p², the pooled estimate of the common variance?Include 1 decimal place in your answer.

sample 1 size =35 mean =69 variance =4.5

sample 2 size = 40 mean = 72 variance = 5.6

2.. The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if a greater proportion of accounting majors hold job offers than economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2,"

The value of the statistic used to test H₀: p₁ - p₂ 0 vs.H_A: p₁ - p₂ > 0 was calculated to be 1.87.What is the p-Value of this test statistic? Include 4 decimal places in your answer.