Reference no: EM132501619

In 2011, the national percent of low-income working families had an approximately normal distribution with a mean of 31.3% and a standard deviation of 6.2% (The Working Poor Families Project, 2011). Although it remained slow, some politicians claimed that the recovery from the Great Recession was steady and noticeable. As a result, it was believed that the national percent of low-income working families was significantly lower in 2014 than it was in 2011. To support this belief, a spring 2014 sample of n=16 jurisdictions produced a sample mean of 29.8% for the percent of low-income working families, with a sample standard deviation of 4.1%. Using an α=0.10 significance level, test the claim that the national average percent of low-income working families had improved by 2014.

- Clearly identify the claim and state the null and alternate hypotheses for this test.

- Give few brief sentences to state the type of test that should be performed based on the hypotheses and the information provided (or not provided) in the narrative above. Additionally, state the assumptions and conditions that justify its appropriateness.

- Use technology to identify the test statistic and the resulting P-value associated with the sample results. Provide these values.

- State, separately, both the decision/result of the hypothesis test, and the appropriate conclusion/statement about the claim.