Suppose That You Are Performing A $\chi ^ { 2 }$

question 52

Multiple Choice

Suppose that you are performing a $\chi ^ { 2 }$ -test for a population standard deviation. Which of the following statements regarding the distribution of the test statistic is true?

• A)If the null hypothesis is true, the test statistic has a chi-square distribution with \(\mathrm { df } = \mathrm { n }\).
• B) If the null hypothesis is true, the test statistic has a chi-square distribution with \(\mathrm { df } = \mathrm { n } - 1\).
• C) If the null hypothesis is false, the test statistic has a chi-square distribution with \(\mathrm { df } = \mathrm { n }\).
• D) If the null hypothesis is false, the test statistic has a chi-square distribution with \(d f = n - 1\).

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