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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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

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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