Is there a difference in the attitude toward extramarital affairs in the United States versus Canada? Pew
Question:
Is there a difference in the attitude toward extramarital affairs in the United States versus Canada? Pew Research surveyed a random sample of adults from each country and asked, "Do you personally believe that married people having an affair is morally acceptable?" Results of the surveys are below:
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(b) Is the sampling method dependent or independent? Explain.
(c) What approach should be used to determine whether the attitudes in Canada differ from the United States when it comes to extramarital affairs?
(d) Conduct the appropriate test to determine whether the attitudes in Canada differ from the United States when it comes to extramarital affairs. Use the a = 0.05 level of significance.
(e) Why do you think fewer individuals were surveyed in Canada?
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Step by Step Answer:
a The response variable iswhether the individual believes married people having an affair is morallyacceptable or not It is qualitative with two possible outcomes b The sampling method isindependent because the individuals selected from Canada have no relation tothe individuals selected from the United States c To compare attitudes conduct a hypothesistest comparing two independent proportions or construct a confidence intervalfor the difference of two independent proportions d We first verify the requirements to performthe hypothesis test 1 Each sample can be thought of as a simple randomsample 2 we have and so and Thus and and 3each sample is less than 5 of the population So the requirements are met sowe can conduct the test From before the two sample estimates are and The pooledestimate is Test statistic Classical approach This is a twotailed test so the critical value is Since the teststatistic falls in the critical region we reject P value approach Since this P valueis less than the levelof significance we reject Conclusion There is sufficient evidence at the level ofsignificance to conclude that the proportion of individuals in Canada whobelieve that married people having an affair is morally ...View the full answer
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Related Book For 
Statistics Informed Decisions Using Data
ISBN: 9780134133539
5th Edition
Authors: Michael Sullivan III
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