Question 1073907: A study was conducted to determine if there was a difference in the humour content in American and Canadian trade magazine advertisements. In an independent random sample of 270 Canadian trade magazine advertise- ments, 56 were humorous. An independent random sample of 203 American trade magazines contained 52 hu- morous ads. Do these data provide evidence, at the 0.05 significance level, that there is a difference in the proportion of humorous ads in American versus Canadian trade magazines?
Some detail in the answer would help me understand.
Thank You!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A study was conducted to determine if there was a difference in the humour content in American and Canadian trade magazine advertisements. In an independent random sample of 270 Canadian trade magazine advertisements, 56 were humorous.
An independent random sample of 203 American trade magazines contained 52 hu- morous ads. Do these data provide evidence, at the 0.05 significance level, that there is a difference in the proportion of humorous ads in American versus Canadian trade magazines?=
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p-hatc = 56/270 = 0.2074 (Canadian)
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p-hata = 52/203 = 0.2562 (American)
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Ho: pc - pa = 0
Ha: pc - pa # 0
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z[0.2074-]0.2562] = -0.0488/sqrt[(0.2074*0.7926/270)+(0.2562*0.7438/203)]
= -0.00007552
The p-value = normalcdf(-100,-0.00007552) = 0.50
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Conclusion:: Since the p-value is greater than 5%, fail to reject Ho.
Conclusion:: The test results support the decision that there is a
difference between Canadian and American humor.
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Cheers,
Stan H.
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