An employment agency wants to see which of three types of ads in the help-wanted section of local newspapers is the most effective. Three types of ads (big headlines, straightforward, and bold print) were randomly alternated over a period of weeks, and the number of people responding to the ads was noted each week.   Type of Advertisement       Big Headline         Straightforward         Bold Print     Number of responses (replicates) 48 20 34   36 28 39   24 18 44   45 24 40   27 19 41   45   32 Do these data support the null hypothesis that there is no difference in the effectiveness of the ads, as measured by the mean number responding, at the .01 level of significance? (a) Find the test statistic. (Give your answer correct to two decimal places.) (b) Find the critical value. (Give your answer correct to two decimal places.) (c) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence of a difference in effectiveness of the ads.Reject the null hypothesis, there is significant evidence of a difference in effectiveness of the ads.    Fail to reject the null hypothesis, there is significant evidence of a difference in effectiveness of the ads.Fail to reject the null hypothesis, there is not significant evidence of a difference in effectiveness of the ads.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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An employment agency wants to see which of three types of ads in the help-wanted section of local newspapers is the most effective. Three types of ads (big headlines, straightforward, and bold print) were randomly alternated over a period of weeks, and the number of people responding to the ads was noted each week.

  Type of Advertisement
      Big Headline         Straightforward         Bold Print    
Number of responses (replicates) 48 20 34
  36 28 39
  24 18 44
  45 24 40
  27 19 41
  45   32

Do these data support the null hypothesis that there is no difference in the effectiveness of the ads, as measured by the mean number responding, at the .01 level of significance?

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(b) Find the critical value. (Give your answer correct to two decimal places.)

(c) State the appropriate conclusion.
Reject the null hypothesis, there is not significant evidence of a difference in effectiveness of the ads.Reject the null hypothesis, there is significant evidence of a difference in effectiveness of the ads.    Fail to reject the null hypothesis, there is significant evidence of a difference in effectiveness of the ads.Fail to reject the null hypothesis, there is not significant evidence of a difference in effectiveness of the ads.
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