Homework SourseAn employment agency wants to see which of three types of ad
An employment agency wants to see which of three types of ads in the help-wanted section of local newspapers is the most effective. Three types of ads (big headlines, straightforward, and bold print) were randomly alternated over a period of weeks, and the number of people responding to the ads was noted each week.
Do these data support the null hypothesis that there is no difference in the effectiveness of the ads, as measured by the mean number responding, at the .01 level of significance?
(a) Find the test statistic. (Give your answer correct to two decimal places.)
(b) Find the critical value. (Give your answer correct to two decimal places.)
(c) State the appropriate conclusion.
| Type of Advertisement | |||
| Big Headline | Straightforward | Bold Print | |
| Number of responses (replicates) | 36 | 18 | 43 |
| 29 | 31 | 29 | |
| 25 | 19 | 40 | |
| 42 | 27 | 28 | |
| 36 | 29 | 37 | |
| 43 | 40 |
Solution
H0: there is no difference in the effectiveness of the ads
Ha:there is difference in the effectiveness of the ads
Two tailed chi square test
Prepare contingency table
chi-square = 43.2
degrees of freedom = 10
probability = 0.000
Critical value for chi square = 2.558
c) Reject null hypothesis.
There is difference in the effectiveness of the ads and this difference is statistically significant.
