A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 15% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 173 people on the alumni and supporters mailing lists. They receive monetary contributions from 18 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance.   Step 3 of 3 : Draw a conclusion and interpret the decision.   1. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective. 2.  We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.   3. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.   4. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 15% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 173 people on the alumni and supporters mailing lists. They receive monetary contributions from 18 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance.
 
Step 3 of 3 : Draw a conclusion and interpret the decision.
 
1. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.

2.  We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.
 
3. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.
 
4.
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.
 
 
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