Question

A survey first taken of 423 workers showed that 189 of them said that it was seriously unethical to monitor employee e-mail. Secondly, when 125 senior-level bosses were surveyed, 40 said that it was seriously unethical to monitor employee e-mail.

a) Use a 0.05 significance level to test the claim that for those saying that monitoring e-mail is seriously unethical, the proportion of employees is greater than the proportion of bosses.

Claim: p₁  ---Select--- < > ≤ ≥ ≠ = p₂

H_o: p₁    ---Select--- < > ≤ ≥ ≠ = p₂

H₁: p₁    ---Select--- < > ≤ ≥ ≠ = p₂

b) What is the rejection result?

Do not reject the null hypothesis.Reject the null hypothesis.    Not enough information.

c) What is the conclusion?

The sample data does not provide sufficient evidence to support the claim that the proportion of employees is greater than the proportion of bosses.The sample data provides evidence to support the claim that the proportion of employees is greater than the proportion of bosses.    The sample data provides sufficient evidence to warrant rejection of the claim that the proportion of employees is greater than the proportion of bosses.The sample data does not provide sufficient evidence to warrant rejection of the claim that the proportion of employees is greater than the proportion of bosses.

Answer 1

Solution:

n1 = 423 , x1 = 189

n2 = 125, x2 = 40

Using two proportion test,

a)
significance level = 0.05

claim : those saying that monitoring e-mail is seriously unethical, the proportion of employees is greater than the proportion of bosses.

Claim: p1 > p2

Ho: p1 ≤ p2

H1: p1 >  p2

b) What is the rejection result?

Reject the null hypothesis.

c) What is the conclusion?

The sample data provides evidence to support the claim that the proportion of employees is greater than the proportion of bosses.