The table below contains unemployment rates for a sample of metropolitan areas in four regions of a
Question:
The table below contains unemployment rates for a sample of metropolitan areas in four regions of a certain country (Northeast, Midwest, South, and West). The rates are for the month of October 2021.
- Unemployment Data
Use = 0.05 to test whether the unemployment rate is the same in all four regions.State the null and alternative hypotheses.H0: 1 = 2 = 3 Ha: Not all the population means are equal.H0 1 = 2 = 3 Ha: 1 2 3 H0: Not all the population means are equal. Ha: 1 = 2 = 3 = 4H0: 1 = 2 = 3 = 4 Ha: Not all the population means are equal.H0: Not all the population means are equal. Ha: 1 = 2 = 3Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-value = State your conclusion.Reject H0. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions.Do not reject H0. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. Do not reject H0. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions.Reject H0. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions.
| Northeast | Midwest | South | West | |
|---|---|---|---|---|
| 3.6 | 3.3 | 3.4 | 2.6 | 4.2 |
| 6.4 | 1.9 | 4.1 | 3.4 | 5.1 |
| 1.4 | 1.8 | 3.0 | 4.5 | 3.5 |
| 5.3 | 3.0 | 2.4 | 3.3 | 12.5 |
| 2.0 | 3.0 | 6.2 | 6.6 | 6.0 |
| 5.5 | 4.5 | 2.6 | 3.9 | 3.4 |
| 5.1 | 5.2 | 4.2 | 4.1 | 4.8 |
| 4.0 | 2.1 | 1.9 | 3.6 | 5.2 |
| 4.0 | 3.0 | 3.7 | 3.5 | 4.5 |
| 6.2 | 1.9 | 4.2 | 2.7 | 6.7 |
| 4.3 | 1.5 | 3.3 | 4.3 | 4.0 |
| 6.6 | 2.3 | 3.1 | 3.3 | 3.7 |
| 4.4 | 5.3 | 3.7 | 5.1 | |
| 5.0 | 1.6 | 2.7 | 1.8 | |
| 3.0 | 3.3 | 2.1 | 6.8 | |
| 3.1 | 3.6 | 3.9 | 1.5 | |
| 2.3 | 3.0 | 3.8 | 4.2 | |
| 2.5 | 4.0 | 3.5 | 2.0 | |
| 3.8 | 2.1 | 2.6 | 3.2 | |
| 4.5 | 4.2 | 9.1 | ||
| 3.6 | 3.2 | 7.7 | ||
| 2.1 | 3.3 | |||
| 2.9 | 5.1 | |||
| 2.0 | 2.6 |
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