Recently, a large academic medical center determined that 9 of 16 employees in a particular position were female, whereas 42% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general workforce?

What are the correct hypotheses to test to determine if the proportion is different?

A.

H0: = 0.42;

H1: 0.42

B.

H0: 0.42;

H1: > 0.42

C.

H0: 0.42;

H1: = 0.42

D.

H0: 0.42;

H1: < 0.42

Calculate the test statistic.

ZSTAT = ____

(Type an integer or a decimal. Round to two decimal places as needed.)

What is the p-value?

The p-value is ___

(Type an integer or a decimal. Round to three decimal places as needed.)

State the conclusion of the test.

(Do not reject, Reject, the null hypothesis) There is(insufficient, sufficient) evidence to conclude that the proportion of females in this position at this medical center is different from the proportion in the general workforce.