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 multiple-choice test answers (the correct answers from the instructor's answer sheet) from 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. (Observed frequency– Expected frequency)“ fE Expected frequency Part 1 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 SE three or more decimal places. Send data to Excel

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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 A, B, or D.
Suppose that we take a random sample of 580 multiple-choice test answers (the correct answers from the instructor's answer sheet) from 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, andD 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
А, В, С, and D.
2
E
(Observed frequency – Expected frequency)"
fE
Expected frequency
Part 1
2
E
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
fE
three or more decimal places.
Send data to Excel
A
B
D
Total
Observed
frequency
157
172
123
128
580
fo
Expected
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 multiple-choice test answers (the correct answers from the instructor's answer sheet) from 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, andD 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 А, В, С, and D. 2 E (Observed frequency – Expected frequency)" fE Expected frequency Part 1 2 E 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 fE three or more decimal places. Send data to Excel A B D Total Observed frequency 157 172 123 128 580 fo Expected
Expected
frequency
145.00
145.00
fE
(fo-fE)
3.338
1.993
fE
Part 2
Answer the following to summarize the 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. Use the 0.10 level of significance for the test.
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
(b) Find the value of the test statistic. (Round your answer to two or more decimal places.)
(c) Find the p-value. (Round your answer to three or more decimal places.)
(d) 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?
O Yes ONo
Transcribed Image Text:Expected frequency 145.00 145.00 fE (fo-fE) 3.338 1.993 fE Part 2 Answer the following to summarize the 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. Use the 0.10 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the p-value. (Round your answer to three or more decimal places.) (d) 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? O Yes ONo
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