am having trouble solving this problem.  Can you please provide me with some help?  Thank you.  I appreciate it. Allied Applications, a multinational commodities trading company, has recently announced a new personnel evaluation system.  Six months after implementing the system, Allied's human resources director takes a random sample of 100 management-level employees and 100 rank-and-file employees.  Thirty percent of the management sample and 24% of the rank-and-file sample report that they are satisfied with the new system.  Using a "no difference in satisfaction rates" null hypothesis, set up the appropriate hypothesis test.  Use a significance level of 5%.  Is the sample proportion difference statistically significant?

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I am having trouble solving this problem.  Can you please provide me with some help?  Thank you.  I appreciate it.

Allied Applications, a multinational commodities trading company, has recently announced a new personnel evaluation system.  Six months after implementing the system, Allied's human resources director takes a random sample of 100 management-level employees and 100 rank-and-file employees.  Thirty percent of the management sample and 24% of the rank-and-file sample report that they are satisfied with the new system.  Using a "no difference in satisfaction rates" null hypothesis, set up the appropriate hypothesis test.  Use a significance level of 5%.  Is the sample proportion difference statistically significant?

Expert Solution
Step 1

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no evidence to conclude that the sample proportion difference is statistically significant.

Statistics homework question answer, step 1, image 2

That is, there is evidence to conclude that the sample proportion difference is statistically significant.

Step 2

Obtain the value of the test statistic.

The value of test statistic is obtained below:

The value of sample proportion1,

Statistics homework question answer, step 2, image 1

Statistics homework question answer, step 2, image 2

Thus, the value of test statistic is 0.96.

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