Question

A study examined whether the content of TV shows influenced the ability of viewers to recall brand names in commercials. The researchers randomly assigned volunteers to watch one of three? programs, each containing the same eleven commercials. The shows were either? violent, sexual, or neutral.? Afterwards, the subjects were asked to recall the brands of the advertised products. Results are summarized to the right. Complete parts? a) and? b) below.

Violent Sexual Neutral

104 98 99

means 2.54 3.13 4.29

SD 1.69 1.67 1.56

Is there a significant difference in? viewers' abilities to remember brands advertised in shows with neutral vs. sexual ?content? (Assume a significance level of? 0.05.) What is the conclusion of the hypothesis? test? A. Fail to reject the null hypothesis. There is not sufficient evidence that a difference exists. B. Fail to reject the null hypothesis. There is sufficient evidence that a difference exists. C. Reject the null hypothesis. There is sufficient evidence that a difference exists. D. Reject the null hypothesis. There is not sufficient evidence that a difference exists.

Answer 1

here applying one way ANOVA"

c	ni	x?i	S2i	ni*(Xi-Xgrand)2	(ni-1)*S2i
violent	104	2.540	1.690	61.290	174.07
Sexual	98	3.130	1.670	3.094	161.99
Neutral	99	4.290	1.560	95.531	152.88
	grand mean=	3.308		159.915	488.94
				SSTr	SSE
Source of variation		SS	df	MS	F	P value	F crit
between		159.915	2	79.96	48.73	0.0000	3.03
within		488.940	298	1.64
total		648.855	300

as test statsitic is higher then critical value ;option C is correct

C. Reject the null hypothesis. There is sufficient evidence that a difference exists