For each of the following examples, explain whether the researcher has made a correct decision or has made a type 1 or type 2 error. explain why. a. dr. g rejects the null hypothesis although the independent variable had no effect. b. dr. r rejects the null hypothesis when it is false. c. although the independent variable had an effect, dr. e does not reject the null hypothesis.

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?