See attached file for full problem description including exponentials and diagrams.
More than one teacher has given the following advice: choose answer C when blindly guessing among four answers in a multiple choice test, since C is more often the correct answer than either A, B, or D.
Suppose that we take a random sample of multiple-choice test answers (the correct answers from the instructor's answer sheet) from introductory college courses and obtain the information summarized in the first row of numbers in Table 1 below. These numbers are the observed frequencies for each of the categories A, B, C, and D for our sample of correct answers. The second row of numbers in Table 1 contains the frequencies expected for a sample of correct answers if a correct answer is equally likely to be A, B, C, or D. The bottom row of numbers in Table 1 contains the values
= (Observed frequency - Expected frequency)2
for each of the correct answer categories A, B, C, and D.
Fill in the missing values of Table 1. Then, using the level of significance, perform a test of the hypothesis that each of A, B, C, and D is equally likely to be the correct answer on tests in these introductory college courses. Then complete Table 2.
Round your responses for the expected frequencies in Table 1 to at least two decimal places. Round your responses in Table 1 to at least three decimal places. Round your responses in Table 2 as specified.
Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.