A. Find the value of the test statistic. (Round your answer to two or more decimal places.) B. Find the p-value. (Round your answer to three or more decimal places.) C. Can we reject the hypothesis that A, B, C, and D are equally likely to be the correct answer on tests in these introductory college courses?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A. Find the value of the test statistic. (Round your answer to two or more decimal places.)

B. Find the p-value. (Round your answer to three or more decimal places.)

C. Can we reject the hypothesis that ABC, and D are equally likely to be the correct answer on tests in these introductory college courses? 

 

Observed
frequency
fo
Expected
frequency
SE
2
(fo-fe)
JE
A
176
145
B
155
145
6.628 0.6897
C
125
D
124
145.00 145.00
2.759 3.041
Total
580
Transcribed Image Text:Observed frequency fo Expected frequency SE 2 (fo-fe) JE A 176 145 B 155 145 6.628 0.6897 C 125 D 124 145.00 145.00 2.759 3.041 Total 580
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.
(fo-fE)²
ƒE
(Observed frequency - Expected frequency)²
Expected frequency
Transcribed Image Text: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. (fo-fE)² ƒE (Observed frequency - Expected frequency)² Expected frequency
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