Comments on: What should the advertising company conclude at the 5% level of significance? http://www.maciowa.com/advertising/what-should-the-advertising-company-conclude-at-the-5-level-of-significance-2 Marketing, Advertisting & Communication Sat, 24 Sep 2011 00:42:38 +0000 http://wordpress.org/?v=2.7 hourly 1 By: MrD http://www.maciowa.com/advertising/what-should-the-advertising-company-conclude-at-the-5-level-of-significance-2/comment-page-1#comment-8558 MrD Sat, 12 Dec 2009 12:49:59 +0000 http://www.maciowa.com/advertising/what-should-the-advertising-company-conclude-at-the-5-level-of-significance-2#comment-8558 For this problem we will use the Chi-squared distribution. We would expent the percentages to be equal ie 0.4637 each, thus we would expect 22.26 males and 41.74 females to watch the program, we use this to calculate the Test statistic D^2 D^2 = SUM((Expected - observed)^2 / Expected) = (22.26 - 23)^2/22.26 + (41.74 - 41)^2/41.74 =0.0246 + 0.0131 =0.0377 The Chi-Squared value for 1 degree of freedom at the 5% significance level is 3.841, thus 0.0377 is not larger than 3.841, thus we can conclude that gender has no effect on the viewership.<br><b>References : </b><br> For this problem we will use the Chi-squared distribution.

We would expent the percentages to be equal ie 0.4637 each, thus we would expect 22.26 males and 41.74 females to watch the program, we use this to calculate the Test statistic D^2

D^2 = SUM((Expected - observed)^2 / Expected)
= (22.26 - 23)^2/22.26 + (41.74 - 41)^2/41.74
=0.0246 + 0.0131
=0.0377

The Chi-Squared value for 1 degree of freedom at the 5% significance level is 3.841, thus 0.0377 is not larger than 3.841, thus we can conclude that gender has no effect on the viewership.
References :

]]>