1. 7.4 Hypothesis Testing for Proportions
Key Concepts:
Sample Proportion vs Population Proportion
Sampling Distribution of the Sample Proportion
The z-test for a Population Proportion p

2. 7.4 Hypothesis Testing for Proportions
We built confidence intervals for a population proportion p in chapter 6.
We used the sampling distribution of sample proportions to build the interval:

3. 7.4 Hypothesis Testing for Proportions
How can we use this information?
Since we know the sample proportions are normally distributed and we’re assuming the null hypothesis is true, we can standardize p-hat as follows:
where po is the hypothesized population proportion

4. 7.4 Hypothesis Testing for Proportions
Since our test statistic follows the standard normal distribution, we can use the p-value or the critical-value approach in these tests.
Guidelines are given on page 388.
#12 p (Asthma)
#16 p (Cat Ownership)