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A financial services company has 35 female top executives (presidents or vice presidents) among its 400...

A financial services company has 35 female top executives (presidents or vice presidents) among its 400 senior managers in its Banking Services division, while only 12 female top executives among its 307 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 is more 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 =

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