0 Question 18 v Grade Percentage Frequency A 11 6 B 18 24 C =12 20 D 18 25 F 11 6 A college requires that grades be distributed according to the percentages shown in the table above. A random sample of grades from one professor is also shown in the table. At a 10% Level of Significance, test to see if the grade distribution for the above professor fits the college's requirements. 1. The hypotheses are : {323' Ho:Grade distribution does not fit requirement Ha:Grade distribution fits requirement '33:? Ho:Grade distribution fits requirement Ha:Grade distribution does not fit requirement 2. This is a '33:? right'33:33' LeftO two tailed test; d.f. = 3a. The STS [to 2 decimals] is x2 = 3b. The P-value {to 3 decimals) = 4a. The decision at or = 10% is O Reject Ho '3' Do not reject Ho 4b. The conclusion is '3' There is insufficient evidence to concLude that grade distribution fits requirement {:33 There is sufficient evidence to concLude that grade distribution fits requirement '33:? There is insufficient evidence to concLude that grade distribution does not fit requirement '3' There is sufficient evidence to concLude that grade distribution does not fit requirement Grade Freshman Sophomore Junior Senior Students 235 250 212 279 The table shows a recent random sample of student athletes at a high school. At a 10% Level of Significance, test the claim that athletes are distributed uniformly by grade level. 1. The hypotheses are : '33:? Ho:Athletes are distributed uniformly by grade level Ha:Athletes are not distributed uniformly by grade level '33:? Ho:Athletes are not distributed uniformly by grade level Ha:Athletes are distributed uniformly by grade level 2. This is a '33:? right' two'iiii' left tailed test; d.f. = 3a. The STS [to 2 decimals] is X2 = 3b. The P-value [to 3 decimals} = 4a. The decision at a = 10% is '3'} Do not reject Ho ":3" Reject Ho 4b. The conclusion is '1} There is sufficient evidence to reject the claim that athletes are distributed uniformly by grade '3'} There is sufficient evidence to support the claim that athletes are distributed uniformly by grade '33:} There is insufficient evidence to reject the claim that athletes are distributed uniformly by grade '3' There is insufficient evidence to support the claim that athletes are distributed uniformly by grade