A Sample of 100 Colored Balls Is Selected from a Large

question 4

Multiple Choice

A sample of 100 colored balls is selected from a large container of red balls and white balls-call it Container A.A second sample, this one of size 200, is selected from another container of red balls and white balls-call it Container B.The table below shows observed results from the two samples. You plan to use a chi-square test to test the null hypothesis that the two containers contain the same proportion of red balls.The significance level for the test will be 1%.Suppose the p-value for the sample result turns out to be .0272.What should you conclude?

• A)At a 1% significance level, don't reject the hypothesis that the proportion of red balls is the same in both containers.
• B)At a 1% significance level, reject the hypothesis that the proportion of red balls is the same in both containers.
• C)The test provides strong evidence that the proportion of red balls is not the same in both containers.
• D)The test provides strong evidence that the proportion of red balls is the same in both containers.

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