Question

A company is criticized because only 16 of 44 executives at a local branch are women. The company explains that although this proportion is lower than it might​ wish, it's not a surprising value given that only 43​% of all its employees are women. The company has more than 500 executives worldwide. Test an appropriate hypothesis and state the conclusion.

Determine the hypotheses for this test.​ (The proportion of female executives in the entire company is denoted by​ p.)
A.
Upper H 0​: p > or = 0.43
Upper H A​: p= 0.43
B.
Upper H 0​: p not = 0.43
Upper H A​: p= 0.43
C.
Upper H 0​: p < or = 0.43
Upper H A​: p= 0.43
D.
Upper H 0​: p= 0.43
Upper H A​: p> 0.43
E.
Upper H 0​: p= 0.43
Upper H A​: p < 0.43
F.
Upper H 0​: p= 0.43
Upper H A​: p not = 0.43

B). Calculate the test statistic.
z=__ ​(Round to two decimal places as​ needed.)
Find the​ P-value.
​P-value=__ ​(Round to three decimal places as​ needed.)

C). State the conclusion of the test. Choose the correct answer below.
A.
Because the​ P-value is​ low, reject Upper H 0. These data show that the proportion of women executives in the company is less than the 43​% of women in the company in general.
B.
Because the​ P-value is​ low, fail to reject Upper H 0. These data show that the proportion of women executives in the company is less than the 43​% of women in the company in general.
C.
Because the​ P-value is​ high, fail to reject Upper H 0. These data do not show that the proportion of women executives in the company is less than the 43​% of women in the company in general.
D.
Because the​ P-value is​ high, reject Upper H 0. These data do not show that the proportion of women executives in the company is less than the 43​% of women in the company in general.

Answer 1

The company explains that although this proportion is lower than it might​ wish.

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