Question 5 120 Marks Kentrex, a maker of game consoles, wants to determine wheth

Question

Question 5 120 Marks Kentrex, a maker of game consoles, wants to determine whether a proposed new advertising campaign will change game players' perception of its brand. To conduct the test, Kentrex selected a panel of six game players and used an extensive questionnaire to measure brand perception before and after the panel is shown the new campaign through a series of ads. Using the before and after brand perception scores in the table below, and assuming that the appropriate population conditions are satisfied, construct a hypothesis test to test the null hypothesis that there would be no difference in average before and after scores for the populations represented. Use a significance level of 5%. Scores Player Before After 47 57 52 54 67 72 31 37 62 60 59 68 a) Specify the hypothesis b) Perform the test statistic. c) Provide your statistical decision. d) State your decision in terms your manager can understand.

Explanation / Answer

We want to test the claim that whether the proposed new advertising campaign will change game player's perception of it's brand.

The hypothesis testing problem can be given by

a) Null Hypothesis: There is no significant average difference between the Before and After brand score.

Against

Alternative Hypothesis: There is a significant average difference between the Before and After brand score.

b) ### By using R command:

> X=c(47,52,67,31,62,59)### Before
> X
[1] 47 52 67 31 62 59
> Y=c(57,54,72,37,60,68)###After
> Y
[1] 57 54 72 37 60 68
> t.test(X, Y, paired = TRUE)

Paired t-test

data: X and Y
t = -2.7386, df = 5, p-value = 0.04086
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-9.6932189 -0.3067811
sample estimates:
mean of the differences
-5

Test statistics is t = -2.7386

c) Here pvalue for the test is = 0.04086 which indicates that we reject the null hypothesis at 5% level of significance with 5 degrees of freedom.

d) Hence we have enough evidence to justify the claim that the proposed new advertising campaign will change game player's perception of it's brand.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.