A chi-square goodness-of-fit test is to be conducted to test whether a population is normally distributed. No statement has been made regarding the value of the population mean and standard deviation. A frequency distribution has been formed based on a random sample of 900 values. The frequency distribution has k = 7 classes. Assuming that the test is to be conducted at the α = 0.01 level, determine the correct decision rule to be used.
State the appropriate null and alternative hypotheses. Choose the correct answer below.
A. H0: The population is not normally distributed.
HA: The population is normally distributed.
B. H0: The population is normally distributed.
HA: The population is not normally distributed.
C. H0: The population is normally distributed.
HA: The population is Poisson distributed.
D. H0: The population is Poisson distributed.
HA: The population is not Poisson distributed.
Determine the correct decision rule to be used. Select the correct choice below and fill in the answer box(es) within your choice. (Round to four decimal places as needed.)
A. If the chi-square test statistic, χ², is less than χ²_{1−α} = ___, reject the null hypothesis. Otherwise, do not reject the null hypothesis.
B. If the chi-square test statistic, χ², is greater than χ²_{α} = ___, reject the null hypothesis. Otherwise, do not reject the null hypothesis.
C. If the chi-square test statistic, χ², is less than χ²_{1−α} = ___ or greater than χ²_{α} = ___, reject the null hypothesis. Otherwise, do not reject the null hypothesis.