True or False 1. The chi-square distribution with 8 degrees of freedom the mode of the distribution occurs over n = 6. 2. A chi-square test for homogeneity is used to test whether or not different populations share the same proportions of specified characteristics. 3. A p-value is the probability of obtaining a sample statistic less extreme than the one observed under the assumption that the statement in the null hypothesis is true. 4. For a hypothesis test of means we use the t-distribution. 5. It is not possible for different levels of significance to lead to different conclusions in a hypothesis test. 6. Suppose a data pair of (2, 7) is obtained in an experiment. Suppose that the linear regression equation predicts a ^ =7 for x = 2, then the point (2,7) lies on the line of best fit. y 7. It is possible for a single data point to substantially change the equation of the regression line. 8. Extrapolating ^ values in regression analysis can yield unreasonable results. y