Recently, a large academic medical center determined that 7 of 25 employees in a
ID: 3270860 • Letter: R
Question
Recently, a large academic medical center determined that 7 of 25 employees in a particular position were male , whereas 45 % of the employees for this position in the general workforce were male . At the 0.01 level of significance, is there evidence that the proportion of male s 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?
H0: ?
H1: ?
- Calculate the test statistic.
ZSTAT = ? (Round to two decimal places as needed).
- What is the p-value?
p-value = ? (Round to four decimal places as needed).
- State the conclusion of the test.
(DO NOT REJECT OR REJECT) the null hypothesis. There is (INSUFFICIENT OR SUFFICIENT) evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.45
HA : p 0.45
Hypothesis test results:
Hence,
H0 : p = 0.45
H1 : p 0.45
z = -1.71
p Value = 0.0875
Do not reject; Insufficient
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 7 25 0.28 0.099498744 -1.7085643 0.0875Related Questions
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