Final answer:
To conduct a hypothesis test to answer the research question, we can use the one-sample proportion test. The null hypothesis (H0) would be that the majority of U.S. adults do not believe that raising the minimum wage will help the economy. The alternative hypothesis (H1) would be that the majority of U.S. adults do believe that raising the minimum wage will help the economy.
Step-by-step explanation:
To conduct a hypothesis test to answer the research question, we can use the one-sample proportion test. The null hypothesis (H0) would be that the majority of U.S. adults do not believe that raising the minimum wage will help the economy. The alternative hypothesis (H1) would be that the majority of U.S. adults do believe that raising the minimum wage will help the economy.
Here's how to conduct the hypothesis test:
- Observe that the survey found 38% of U.S. adults believe raising the minimum wage will help the economy.
- Set up the null and alternative hypotheses:
- Null hypothesis (H0): p ≤ 0.5 (the majority do not believe raising the minimum wage will help the economy)
- Alternative hypothesis (H1): p > 0.5 (the majority do believe raising the minimum wage will help the economy)
- Choose a significance level (alpha) of 0.05.
- Calculate the test statistic:
- Test statistic = (observed proportion - expected proportion) / standard error
- Expected proportion = 0.5 (since the null hypothesis assumes an equal split)
- Standard error = √[(p * (1 - p)) / n]
- Determine the p-value associated with the test statistic using a normal distribution table or a statistical software.
- Compare the p-value to the significance level. If the p-value is less than (or equal to) the significance level, reject the null hypothesis. If the p-value is greater than the significance level, fail to reject the null hypothesis.