In a study examining the relation of math ability to belief that math ability was innate, belief was considered the predictor variable. The researcher hopes to find a correlation between the participants' math ability and their belief that math ability is innate. The scores for three participants are shown below. Math Ability 66 70 50 Belief that Math Ability is Innate 7 4 10 Step 1: State the research and null hypotheses. Pop1: People like those in this study. Pop 2: People for whom there is no correlation between math ability and belief that math ability is innate. Null hypothesis: The 2 populations have the same correlation. Research hypothesis: The 2 populations do not have the same correlation. Step 2: Determine the characteristics of the comparison distribution: It is a t distribution. The formula for df when doing a correlation is df = n - 2, so what are the df in this study? Step 3: Determine the cutoff scample score on the comparison distribution at which we reject the null hypothesis. The t table in the back of the book for a 2-tailed test, .05 sig level, and 1 df shows a t cutoff score of _________. Step 4: Determine our sample's score on the comparison distribution at which we reject the null hypothesis. You now have to go through the steps explained in the chapter to find the value of r. To summarize, you have to find the mean of each set of data and then find each score's deviation score and square those. Sum the squared deviations and divide by n to get the variance. Square root that to get the standard deviation. NOW, convert each raw score to a z score. Then multiply the z scores across to get the \"cross products\". Add those and divide by n to get r. Belief Math Math Abil. (x) Raw Dev Abil. Is Innate (y) Dev2 z Raw Dev Dev2 z Cross-Product 66 7 70 4 50 10___________________________________ Sum: Mean: Using the data you filled in above and the formula for r on page 459 of your textbook, calculate r the value of r and state it here: formula is t= (1r )/(N2) 2 r = ________________ So now that you have the r value, use it to find the corresponding t value so you can make a decision about your null hypothesis. That formula is on page 459 of your book. State your t value here:df=N-2 t = _________________ Step 5: Decision about null hypothesis. You know that your cutoff score is +/- ______, so what is your decision regarding the null hypothesis? Decision is: _______________ Now please write a brief summary of what these results mean to you