INTERPRETATIONS of RESULTS

The chi squared test is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-square distribution when the null hypothesis is true. Thus in other terms, we compare observed data we expected to obtain according to our hypothesis.

In this test we can see how to reject or accept the null hypothesis, and we can see that by X2calc being greater than the number we get obtain from the table of critical values. And if that number that we try t figure out is larger, than we have to reject our events being independent. And that basically says that our information, or our hypothesis is wrong. The excepted values that we interpreted was if everyone one didn’t miss the shots, and made them, then we would have excepted those results in our data. They represent the values if nothing went wrong, or in this case, if none of the girls missed the shots.

| shots made | shots missed | total | left | 11 | 9 | 20 | Right | 15 | 5 | 20 | | 26 | 14 | 40 |
My raw data presented was of the girls and how much they made or missed their shots with their left or right foot. The purpose behind this was too see if they can kick better with the dominate or non-dominate leg. And the result of this was my value of x2 and how it was smaller than 3.84. my value was 3.05, so my null hypothesis was accepted that right and left are independent.

| shots made | shots missed | left | 25.5 | -0.15 | right | 25.5 | -0.15 |
My expected values and my observed values are two completely different tables. In this we can see that with the null hypothesis, the girls were supposed to make every shot and miss none. But that didn’t happen. We can see that the difference in these two is a lot because of the amount of accuracy and dominance they had over one leg.