Question
In: Statistics and Probability
A financial services company has 32 female top executives (presidents or vice presidents) among its 384...
A financial services company has 32 female top executives (presidents or vice presidents) among its 384 senior managers in its Banking Services division, while only 14 female top executives among its 317 senior managers in its Investment Services division. Test at the 0.01 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 (Click to select) 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 is ______ .
d. What is your decision regarding the null hypothesis?
Solutions
Expert Solution
Solution:
a. State the decision rule. (Round the final answer to 3 decimal places.)
Answer: If z is more than 2.326, reject H0.
Explanation:
We can use the excel function to find the z-critical value, the excel function is:
b. Compute the pooled proportion. (Round the final answer to 5 decimal places.)
Answer:
c. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)
Answer: The value of the test statistic is:
Therefore, the value of the test statistic is 2.084
d. What is your decision regarding the null hypothesis?
Answer: Since the value of the test statistic is less than the critical value, we, therefore, fail to reject the null hypothesis
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