In a problem. Eight. We're going to be comparing the number of games one by each league. We have two legs here the American League and the National League for Baseball games for the years 1970 to 1993 at the 0.5 level of significance, We're going to see whether there is sufficient evidence to conclude that with a difference in the number of kings. So the first step is to state the non Harper. This is then get the critical values wrong. The data then one called the values that to make a decision, whether to reject or real, to reject the night policies. So in our case, the null hypothesis change not is that there is no difference in the number wins and the alternative put. This is a case that there is a difference in the number of wins and both cases comparing the theme to leaks. But next we just did the critical Bali Andi, In our case, the critical value at 0.5 level of significance is plus or minus 1.96 Next, we're going to give the ranking full each a win, and he had the rankings for the American League and for the National League. So after getting the ranking, we need to find out the sample size of a small A sample. And in this case, the smaller sample is for the national legs. Onda. We have 11 wins and 11 samples and then for the American League, we have 12. So we're going to get Are we going to sound the rungs for the National League? So it's going to be 2.5 sound all the way out to 22.5 and the sum is 125. Next, we get Newmar from substituting the values off anyone and entered into the formula. And that yields 132. You are is obtained by substituting evolution to this formula, and we get 16.24 the value of Zell calculated values that is going to be obtained from the substitution of the values that we have just obtained. That is 120 five minus 132 divided by 16.24 And when you want that, don't get negative 0.43 08 now we can compare that one, but you off that to the critical value offset and the negative. Negative. 0.43 08 He is great. German negative. 1.96 If you can sketch the distribution, you find that the critical value is negative. One 1.96 And this is the critical region. While I watch critical, our calculated value is zero negative 0.4. So negative 0.4308 does not fall in the critical region and hens we make the decision to feel to reject. Then my life with this is And in this case since we've failed to reject the knowledge by this is we can't conclude that these not enough evidence to reject the claim that there is no difference in the number winds in the tunings.