Question

A company is criticized because only 11of 41 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 36​% of all its employees are women. The company has more than 500 executives worldwide. Test an appropriate hypothesis and state the conclusion.

B. Calculate the test Statistic: Z=

C. Finde P-Value: P=

D. State the conclusion for the test.

Answer 1

a) The sample proportion here is computed as:

p = x/n = 11/41 = 0.2683

The test statistic here is computed as:

Therefore -1.2234 is the required test statistic value here.

b) As this is a lower tailed test, the p-value here is computed as:

p = P( Z< -1.2234) = 0.1106

Therefore 0.1106 is the required p-value here.

c) As the p-value here is not small enough, the test is not significant and we cannot reject the null hypothesis here. Therefore we dont have sufficient evidence that company has kept a lower proportion of women here than 0.36.