Based on a July 2022 Pew Research survey, overall, three-in-ten U.S. adults are single, meaning they are not married, living with a partner or in a committed romantic relationship. This year, a group of researchers select a random sample of 1,050 adults in Boston and find that 357 are single. Does the data provide convincing evidence that more than 30% of adults in Boston are single? Test the relevant hypotheses using a 5% significance level.
Hypothesis test results:
| Proportion | Count | Total | Sample Proportion | Standard error | Z-Statistic | P-value |
|---|---|---|---|---|---|---|
| p | 357 | 1050 | 0.34 | 0.014142136 | 2.8284271 | 0.0023 |
95% confidence interval results:
| Proportion | Count | Total | Sample Proportion | Standard error | Lower Limit | Upper Limit |
|---|---|---|---|---|---|---|
| p | 357 | 1050 | 0.34 | 0.01461897 | 0.31134735 | 0.36865265 |
write the null hypothesis (Ho) and the alternative hypothesis (Ha) in words using this format.
Ho:
Ha: