Hypothesis Testing In 2011, the national percent of low-income working families

Question

Hypothesis Testing In 2011, the national percent of low-income working families had an approximately normal distribution with a mean of 31.3% (The working Poor Families Project, 2011). Although it has remained slow, some politicians now claim that the recovery from the Great Recession has been steady and noticeable. As a result, it is believed that the national percent of low-income working families is significantly lower now in 2014 than it was in 2011. To support this belief, a recent 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 a 0.10 significance level, test the claim that the national average percent of low-income working families has improved since 2011. Clearly identify and state the null and alternate hypothesis for this test. Use technology to identify the test statistic and the P-value associated with the hypothesis test. Provide these

Explanation / Answer

Question 1)

Ho: µ = 31.3

Ha: µ > 31.3

Question 2)

We use Minitab here,

One-Sample T

Test of mu = 31.3 vs > 31.3

90%

                                Lower

N     Mean   StDev SE Mean    Bound      T      P

16 29.8000 4.1000   1.0250 28.4259 -1.46 0.918

The test Statistics is -1.46

The p-value is 0.918

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