An SRS of 45 male employees at a large company found that 36 felt that the company was supportive of female employees. An independent SRS of 40 female employees found that 24 felt that the company was supportive of female employees. Let p, = the proportion of all male employees at the company and p2 = the proportion of all female employees at the company who hold this opinion. We want to test the hypotheses H,: P, - P2 = 0 ; H,: p, - P2 > 0. Which of the following is the correct test statistic?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
5 choices total
![An SRS of 45 male employees at a large company found that 36 felt that the company was supportive of female
employees. An independent SRS of 40 female employees found that 24 felt that the company was supportive of
female employees. Let p, = the proportion of all male employees at the company and p, = the proportion of all
female employees at the company who hold this opinion. We want to test the hypotheses H,: P, - P2 = 0;
H;: P, - P2 > 0. Which of the following is the correct test statistic?
"
0.8 -0.6
0.8(02) 0.6(0.4)
45
40
0.8-0.6
0.706 (0.294) 0.706 (0.294)
45
40
0.8–0.6
%3D
0.706 (0.294)_ 0.706(0.294)
45
40
0.8 -0.6
0.8(0.2) 0.6(0.4)
V45
V40
0.8
0.6
0.8(02) 0.6(0.4)
J45
40](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3945ad73-e6d6-4f80-98e3-ea2222211659%2Fbbf9ac9d-7448-4ae9-8a9c-a66cf1d4708f%2Fsq5ga9i_processed.png&w=3840&q=75)
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