Question

An international study to assess public opinion on the treatment of suspected terrorists was conducted. Each individual in random samples of 1000 adults from each of nine different countries was asked the following question: "Do you feel the use of torture against suspected terrorists to obtain information about terrorism activities is justified?" Responses consistent with percentages given in the article for the samples from Italy, Spain, France, the United States, and South Korea are summarized in the accompanying table. Based on these data, is it reasonable to conclude that the response proportions are not the same for all five countries? Use a 0.01 significance level to test the appropriate hypotheses. (Round your answer to two decimal places.)

Country	Never	Rarely	Sometimes	Often	Not sure
Italy	590	140	140	90	40
Spain	540	160	140	70	90
France	400	210	240	120	30
United States	360	230	270	110	30
South Korea	100	330	470	60	40

χ² =

P-value interval

p < 0.00

10.001 ≤ p < 0.01    

0.01 ≤ p < 0.05

0.05 ≤ p < 0.10

p ≥ 0.10

It is  ---Select--- reasonable not reasonable to conclude that the response proportions are not the same for all five countries.

Answer 1

The statistical software output for this problem is :

χ² = 847.09

p < 0.00

It is  reasonable to conclude that the response proportions are not the same for all five countries.