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January 30, 2015

January 30, 2015

Posted by **George** on Wednesday, May 5, 2010 at 6:55pm.

- Statistics -
**MathGuru**, Wednesday, May 5, 2010 at 9:12pmNull hypothesis:

Ho: p < or = .10 -->meaning: population proportion is less than or equal to .10

Alternative hypothesis:

Ha: p > .10 -->meaning: population proportion is greater than .10

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

z = .13 - .10 / √[(.10)(.90)/57] -->note: .90 represents 1 - .10

Finish the calculation.

Use a z-table to find the critical or cutoff value at 0.01 for a one-tailed test (upper tail). The test is one-tailed because the alternative hypothesis is showing a specific direction (greater than).

If the z-test statistic calculated above exceeds the critical value from the z-table, reject the null. If the z-test statistic does not exceed the critical value from the z-table, do not reject the null.

I hope this will help get you started.

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