6. In the HSB data set, compare the standardized reading scores to the standardized math scores, i.e., test the null hypothesis that there is no difference between students' reading and math abilities. (use a : .01). Specify the null and alternative hypotheses. and report the values of 172i, 303. the standard error of the mean difference1 the sample size n, the value of the test statistic, t, and the pvalue associated with this value of 35. Clearly state your decision regarding the null hypothesis and your conclusion in the context of the problem. Write down the 95% condence interval for p51 p12 and interpret this interval