Question

STA2023-TR 12 30-145 (1585) Spg 2019 (2192) 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 560 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 correct answers if a correct answer is equally likely to be A, B, C, or D、The bottom row of numbers in Table i contains the values A, B, C, and D for our sample of 560 correct answers. The second row of numbers in Table 1 contains the frequencies expected for a sample of 560 O-E) (Observed frequency-Expected frequency)2 Expected frequency for each of the correct answer categories A, B, C, and D. Fill in the missing values of Table 1. Then, using the 0.05 level of significance, perform a test of the hypothesis that each of A, B, C, and D is equal y 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 decimal places. Round your responses in Table 2 as specified. responses in Table 1 to at least three Table 1t Information about the Sample Correct answer TC Total

Where it says “the type of test statistic” the options are “Z , t , Chi square , or F” thanks!

Answer 1

p	Oi	fi	(Oi-Ei)^2/Ei
0.25	149	140	0.578571429
0.25	151	140	0.864285714
0.25	124	140	1.828571429
0.25	136	140	0.114285714
1	560	560	3.385714286
		TS	3.385714286
		critical value	7.814727903
		p-value	0.335889872

type = chi-square
TS = 3.3857
p-value = 0.3359

No