Question 1141904: A financial services company has 38 female top executives (presidents or vice presidents) among its 381 senior managers in its Banking Services division, while only 20 female top executives among its 308 senior managers in its Investment Services division. Test at the 0.02 significance level if this reveals the Banking Services division has significantly more female top executives in higher levels of management.
a. State the decision rule. (Round the final answer to 3 decimal places.)
If z than
, reject H0.
b. Compute the pooled proportion. (Round the final answer to 5 decimal places.)
pc =
c. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)
The test statistic is
.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The two proportions are B 38/381 or 0.0997 and I 20/308 or 0.0649
If we are using the pooled proportion, that would be 58/689 or 0.08418
The decision rule is to reject Ho if pB-pI divided by the SE >2.057, the z-value for the 98th percentile for a one-way test. So if z > 2.057, reject Ho
z=0.0348/sqrt(0.08418*0.91582)((1/381)+(1/308))
the denominator is 0.0213
z=1.636
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