# Question: It can be shown that the square of a standard

It can be shown that the square of a standard normal variable has the chi-square distribution with one degree of freedom. Use that fact to show, for a chi-square curve with one degree of freedom, that χ2 α = z2 α/2.

## Relevant Questions

Use Exercises 12.99 and 12.100 to show that the chisquare homogeneity test for comparing two population proportions and the two-tailed two-proportions z-test are equivalent. Distribution: 0.2, 0.1, 0.1, 0.3, 0.3; Observed frequencies: 9, 7, 1, 12, 21; Significance level = 0.10 We have provided a distribution and the observed frequencies of the values of a variable from a simple random sample of ...Consider two χ2-curves with degrees of freedom 12 and 20, respectively. Which one more closely resembles a normal curve? Explain your answer. The chi-square goodness-of-fit test provides a method for performing a hypothesis test about the distribution of a variable that has c possible values. If the number of possible values is 2, that is, c = 2, the chi-square ...Refer to Table 12.12. a. If you have not done Exercise 12.47, group the bivariate data for the two variables into a contingency table. b. Determine the conditional distribution of class level within each political party ...Post your question