Question

A consultant hired to assess the​ company's organizational culture finds that only​ 15% of employees are open to new ideas and approaches toward their work. Consequently the company conducts a program for employees in order to reinforce the new corporate philosophy culture of innovativeness and change. Based on data collected after the​ program, the​ 95% confidence interval for the proportion of all employees open to new ideas is​ 18% to​ 22%. What should the company​ conclude? I. The null hypothesis of H_0: p ≤ 0.15 should NOT be rejected. II. There is NO evidence to suggest that the program improved​ employees' attitudes toward innovativeness and change. III. There IS evidence that the program improved​ employees' attitudes toward innovativeness and change.

A) III only

B) II Only

C) Both I and II

D) I only

Answer 1

Proportion  of employees are open to new ideas and approaches toward their work = 15%

Ho: p 15%

Ha: p >15% ;

After the program

the​ 95% confidence interval for the proportion of all employees open to new ideas is​ 18% to​ 22%.

As 15% > lower confidience limit : 18% ; 15% is not within the 95% confidence interval; Reject the null hypothesis;

Therefore there is evidence that Proportion  of employees are open to new ideas and approaches toward their work > 15% after the progam.

Hence , There IS evidence that the program improved​ employees' attitudes toward innovativeness and change.

Answer :

A) III only