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March 1, 2015

Posted by **LT** on Monday, October 29, 2007 at 3:54pm.

- Statistics -
**MathGuru**, Monday, October 29, 2007 at 8:06pmLet's set up the null and alternative hypothesis, find a formula to use, then go from there.

Null hypothesis:

Ho: p = .42 -->meaning: population proportion is equal to .42

Alternative hypothesis:

Ha: p > .42 -->meaning: population proportion is greater than .42

[ Note: The null hypothesis is what we suspect isn't true, while the alternative hypothesis is what we suspect is true (or claim to be true). The null hypothesis ALWAYS uses an equals sign. ]

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

z = .44 - .42 -->test value (202/454 = .44) minus population value (.42)

divided by √[(.42)(.58)/454] -->.42 represents 42%, .58 represents 1-.42, and 454 is the sample size.

Finish the calculation and draw your conclusions. Remember if you reject the null and accept the alternative hypothesis, you will have determined there is enough evidence to support the claim that the participation rate has increased. If the null is not rejected, you cannot conclude a difference.

I hope this will help.

- Statistics -
**Anonymous**, Friday, April 16, 2010 at 1:08am78

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