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April 19, 2014

April 19, 2014

Posted by **kay** on Monday, September 2, 2013 at 1:49am.

1) State the correct null and alternative hypotheses that the school administrator wishes to test.

2) Calculate the test statistic that would be used for conducting the desired test.

3) Find the p-value of this test.

4) Assuming á = 0.01, what is your conclusion?

- university of phoenix -
**MathGuru**, Tuesday, September 3, 2013 at 7:14pmYou can try a proportional one-sample z-test for this one since this problem is using proportions.

Here's a few hints to get you started:

Null hypothesis:

Ho: p = .40 -->meaning: population proportion is equal to .40

Alternative hypothesis:

Ha: p > .40 -->meaning: population proportion is greater than .40 (this is a one-tailed test).

Using a formula for a proportional one-sample z-test with your data included, we have:

z = .46 - .40 -->test value (138/300 is .46) minus population value (.40) divided by

√[(.40)(.60)/300] --> .60 represents 1-.40 and 300 is sample size.

Finish the calculation. If you need to find the p-value for the test statistic, check a z-table. The p-value is the actual level of the test statistic. Compare that value to 0.01 to determine whether or not to reject the null. If you reject the null, you can conclude that p > .40.

I hope this will help.

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