Which of the following is an appropriate description of the $\chi -\mathrm{square}$ distribution?

The following table contains the number of successes and failures for three categories of a variable.

Test whether the proportions are equal for each category at the level of significance.

The following table contains the number of successes and failures for three categories of a variable.

Test whether the proportions are equal for each category at the alpha=0.01 level of significance.

Celebrex Celebrex, a drug manufactured by Pfizer, Inc., is used to relieve symptoms associated with osteoarthritis and rheumatoid arthritis in adults. In clinical trials of the medication, some subjects reported dizziness as a side effect. The researchers wanted to discover whether the proportion of subjects taking Celebrex who reported dizziness as a side effect differed significantly from that for other treatment groups. The following data were collected.

a. Test whether the proportion of subjects within each treatment group who experienced dizziness are the same at the alpha=0.05 level of significance.

Which of the following is not a condition for a chi-square goodness-of-fit test?

For which of the following scenarios is a chi-square $\chi 2^{}$ goodness-of-fit test most appropriate?

A scientist conducts a chi-square goodness of fit test with $4$ categories and obtains observed frequencies of $18$, $22$, $20$, and $20$. The expected frequency for each category is $20$. Which of the following values is closest to the chi-square value the scientist calculated?

When conducting a chi-square goodness-of-fit test, how are the expected counts for each category calculated?

Which of the following best describes the possible values for a chi-square statistic in a goodness of fit test?