A study examined whether the content of TV shows influenced the ability of viewe

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.

Explanation / Answer

here applying one way ANOVA"

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

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

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