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 580 correct answers from multiple-choice tests for introductory college courses and obtain the information summarized by the first row of numbers in the table below. These numbers are the observed frequencies for the categories A, B, C, and D for our sample of 580 correct answers. The second row of numbers contains the frequencies expected for a sample of 580 correct answers if a correct answer is equally likely to be A, B, C, or D. The bottom row of numbers contains the following value for each of the correct answer categories A, B, C, and D.

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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 AB, or D. Suppose that we take a random sample of 580 correct answers from multiple-choice tests for introductory college courses and obtain the information summarized by the first row of numbers in the table below. These numbers are the observed frequencies for the categories ABC, and D for our sample of 580 correct answers. The second row of numbers contains the frequencies expected for a sample of 580 correct answers if a correct answer is equally likely to be ABC, or D. The bottom row of numbers contains the following value for each of the correct answer categories ABC, and D.

(ƒo¯ƒE)²
ƒE
Part 1
(Observed frequency - Expected frequency)²
Expected frequency
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your
responses to three or more decimal places.
(fo-fe)²
JE
Transcribed Image Text:(ƒo¯ƒE)² ƒE Part 1 (Observed frequency - Expected frequency)² Expected frequency Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. (fo-fe)² JE
Observed
frequency
fo
Expected
frequency
SE
2
(fo-fe)
ĴE
A
B
176 155
0
C
125
D
2.759
124
145.00 145.00
3.041
Total
580
Transcribed Image Text:Observed frequency fo Expected frequency SE 2 (fo-fe) ĴE A B 176 155 0 C 125 D 2.759 124 145.00 145.00 3.041 Total 580
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