[Solved] An employment agency wants to see which of three types of advertisements in the help-wanted section of local newspapers is the most effective.
Question: An employment agency wants to see which of three types of advertisements in the help-wanted section of local newspapers is the most effective. Three types of advertisements (big headline, straightforward, and bold print) were randomly alternated over a period of weeks and the number of people responding to the advertisements was noted each week.
| Type of Advertisement | |||
| Number of Responses | Big Headline | Straightforward | Bold Print |
| 23 | 19 | 28 | |
| 42 | 31 | 33 | |
| 36 | 18 | 46 | |
| 48 | 24 | 29 | |
| 33 | 26 | 34 | |
| 26 | 34 | ||
At the 0.01 level of significance and using the follow Excel output, does this data support the null hypothesis's position that there is NO difference in the effectiveness of the advertisements as measured by the mean number of people responding? (Please write out the symbols and the words of the null and alternative hypothesis.) Please note that the following output can be used to identify the solution. So you really can focus on doing a superb job on the step one symbol and words and the final answer (with given this information and "probably").
Excel Output
| Big Headline | Straightforward | Bold Print | ||||
| 23 | 19 | 28 | ||||
| 42 | 31 | 33 | ||||
| 36 | 18 | 46 | ||||
| 48 | 24 | 29 | ||||
| 33 | 26 | 34 | ||||
| 26 | 34 | |||||
| Anova: Single Factor | ||||||
| SUMMARY | ||||||
| Groups | Count | Sum | Average | Variance | ||
| Column 1 | 6 | 208 | 34.66666667 | 89.46666667 | ||
| Column 2 | 5 | 118 | 23.6 | 28.3 | ||
| Column 3 | 6 | 204 | 34 | 41.2 | ||
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Between Groups | 407.9372549 | 2 | 203.9686275 | 3.725292378 | 0.050445485 | 6.514937922 |
| Within Groups | 766.5333333 | 14 | 54.75238095 | |||
| Total | 1174.470588 | 16 |
Deliverable: Word Document 