Hypothesis Testing about a Populatiin Proportion

Hypothesis Testing about a Populatiin Proportion -...

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Unformatted text preview: Hypothesis Testing about a Populatiin Proportion, p Just as we conducted hypothesis tests for a population mean, , we can conduct hypothesis tests for a population proportion, p . The three possible setups for a test of hypothesis about p are as follows: 1 : : H p p H p p < 1 : : H p p H p p 1 : : H p p H p p = Lower-tailed test upper-tailed test two-tailed test Where p denotes a hypothesized value for the population proportion (such as 0.10, or 0.64, etc.) When the null hypothesis is true, the distribution of the point estimate for p is: ( 29 ( 29 1 p p p p N with E p p and n - = = : . We should, of course, check to see if p is approximately normal. To do this, we use the same test that we used in Chapter 7. That is, check to see if: 5 np and also that ( 29 1 5 n p- . If the conditions for normality are met, then the following quantity is a standard normal, or z-score. p p p z - = . 184 We can conduct our hypothesis tests for p using either the p-value approach or the critical value approach. Lets begin by using the p-value...
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This note was uploaded on 06/06/2011 for the course MGSC 291 taught by Professor Rollins during the Fall '09 term at South Carolina.

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Hypothesis Testing about a Populatiin Proportion -...

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