# Hypothesis Testing for a Proportion

## General Questions to Answer for Each Problem

- Write the original claim symbolically.
- Identify whether the original claim is the null or alternative hypothesis.
- Write the null and alternative hypotheses.
- Identify the test as left tail, right tail, or two tail.
- Identify the level of significance, alpha.
- Find the critical value(s) from the normal table.
- Define success.
- Identify the sample size, n.
- Identify the number of successes, x.
- Find the sample proportion, p-hat.
- Find the test statistic, p-value, and confidence interval using Minitab.
- Reach a decision. Reject H
_{0} if ...
- The p-value is less than the significance level
- The test statistic falls in the critical region
- The confidence interval does not contain the claimed proportion

- Write a conclusion.
- There is enough evidence if your decision was to reject H
_{0}, otherwise,
there is not enough evidence.
- You will reject the claim if the claim is the null hypothesis and support
the claim if the claim is the alternative hypothesis.

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