Exercise 20-31 Algo A research analyst wants to test whether the median unemployment rate differs from one region of the
Posted: Wed May 11, 2022 2:33 pm
Exercise 20-31 Algo A research analyst wants to test whether the median unemployment rate differs from one region of the country to another. She collects the unemployment rate (in percent) of similar-sized cities in three regions of the United States. The accompanying data file shows the results. Use Table 3. Click here for the Excel Data File a. Specify the competing hypotheses to test whether some differences exist in the median unemployment rates between the three regions. Ho: mi = m2 = m3; HA: Not all population medians are equal. O Ho: mi ? m2 2 m3; HA: All population medians are equal. Ho: mi s m2 s m3; HA: All population medians are equal. b. Calculate the value of the test statistic H. (Round final answer to 3 decimal places.) Test statistic
c. At the 10% significance level, do some unemployment rates differ by region? O No, since we do not reject Ho O No, since we reject Ho Yes, since we do not reject Ho Yes, since we reject Ho
A B с 12 11 1 Region A Region B Region C 2 7.9 8.5 3 7.1 7 4 12.8 9.9 6.9 5 10.5 11.4 7.3 6 6 7.8 6.6 7
c. At the 10% significance level, do some unemployment rates differ by region? O No, since we do not reject Ho O No, since we reject Ho Yes, since we do not reject Ho Yes, since we reject Ho
A B с 12 11 1 Region A Region B Region C 2 7.9 8.5 3 7.1 7 4 12.8 9.9 6.9 5 10.5 11.4 7.3 6 6 7.8 6.6 7