A popular retail store has 15 open positions but having trouble attracting a large number of applicants.
Question:
A popular retail store has 15 open positions but having trouble attracting a large number of applicants. The CEO decides to offer health benefits for these positions to increase the average number of applicants. The company records the number of applicants for each position before adding benefits and after adding benefits. Conduct the appropriate test to determine if the average number of applicants increased after adding benefits to the positions.
Click here for the Excel data file
before | after | |
28 | 22 | |
25 | 17 | |
21 | 29 | |
23 | 18 | |
22 | 15 | |
29 | 27 | |
22 | 32 | |
23 | 27 | |
20 | 33 | |
17 | 23 | |
29 | 21 | |
21 | 29 | |
15 | 12 | |
15 | 26 | |
12 | 29 | |
a.Specify the null and alternative hypotheses.
H(O): __________?____________. ____?___. ____?____
H(A): ___________?___________ _____?___. _____?___
- What are the values for the test statistic and p-value?(Round to 4decimal places)
Test statistic = _____?___
p-value = _____?______
c.At the 5% significance level, what are the decision and conclusion for thistest?
_____?___. ______?____. Therefore, we ____?______ conclude
__________________________?________________________