Hypothesis Testing - Goodness of Fit (Multinomial)

1. You would like to see if the proportion of grades has changed since going from in the classroom to fully online. Below is a table of the previous fall semester (hypothesized - in the classroom) and a random significance of .05. sample of 450 random student grades from the online environment. Construct a hypothesis test, complete the table below as well as answering the questions asked of the discussion board. Use a level of Hypothesis Grade Proportion Observed Expected Chi^2 A 0.15 57 B 0.31 130 Q 1 - A C 0.32 143 Q 1 -B 0.14 65 F 0.08 55 Chi^2 Q 1 -C A. What is the expected value for the B Grade (round to the nearest hundredth)? B What is the value of the chi square test statistic for the C Grade (round to the 40 decimal place)? C What is the value of the test statistic (round to the 3 0 decimal place)? D. What is the probability of the test statistic for this specific problem? E. What conclusion will you come to? (just need to state Accept Ho or Reject Ho and Accept Ha - just put one of those 2 answers in the body of the discussion board, but you will have a more detailed solution (besides writing one of these statements you will write out in words what the conclusion means) on your worksheet that you will attach as a PDF). Use a level of significance of .05. F. Using the critical value approach at what critical value will you start rejecting the null hypothesis