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Chi square test and Confidence interval

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Please choose the correct answer and write briefly why:

When we carry out a chi-square test of independence, as the difference between the respective observed and expected frequencies decrease, the probability of concluding that the row variable is independent of the column variable:

a. Decreases
b. Increases
c. May increase or decrease depending on the number of rows and columns
d. Will be unaffected

A confidence interval increases in width as:

a. The level of confidence increases
b. Sample Size n decreases
c. Sample Standard Deviation increases
d. All of the above

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Step by step method for computing test statistic for hi square test is given in the answer.

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Please choose the correct answer and write briefly why:

When we carry out a chi-square test of independence, as the difference between the respective observed and expected frequencies decrease, the probability of concluding that ...

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