{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Hypothesis Testing about a Populatiin Proportion

# Hypothesis Testing about a Populatiin Proportion - 184...

This preview shows pages 1–3. Sign up to view the full content.

Hypothesis Testing about a Populatiin Proportion, p Just as we conducted hypothesis tests for a population mean, µ , we can conduct hypothesis tests for a population proportion, p . The three possible setups for a test of hypothesis about p are as follows: 0 0 1 0 : : H p p H p p < 0 0 1 0 : : H p p H p p 0 0 1 0 : : H p p H p p = Lower-tailed test upper-tailed test two-tailed test Where 0 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 0 0 0 1 p p p p N with E p p and n σ - = = : . 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: 0 5 np and also that ( 29 0 1 5 n p - . If the conditions for normality are met, then the following quantity is a standard normal, or “z-score”. 0 p p p z σ - = . 184

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
We can conduct our hypothesis tests for p using either the p-value approach or the critical value approach.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

Hypothesis Testing about a Populatiin Proportion - 184...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online