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 $40 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 s40 correct answers. The second row of numbers contains the frequencies expected for a sample of $40 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-f) (Observed frequency-Expected frequency) JE 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 three or more decimal places. JE Send data to Excel Observed frequency fo Expected frequency fr A 113 135 156 с 130 D 141 135.00 135 135.00 3.59 3.267 0.185 0.267 Total 540 X 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. S (a) Determine the type of test statistic to use. Type of test statistic: Chi-square (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 7.309 Degrees of freedom: 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0.0627 (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? OYes No

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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 $40 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 540 correct answers. The second row of
numbers contains the frequencies expected for a sample of 540 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-fx) (Observed frequency-Expected frequency)
SE
Expected frequency
Send data to Excel)
Observed
frequency
fo
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
(10-1²
responses to three or more decimal places.
JE
Expected
frequency
JE
(Jo-18)²
A
113
135
B
156
Question 5
135.00
с
130
135
D
135.00
3.59 3.267 0.185 0.267
Total
(a) Determine the type of test statistic
to use.
Type of test statistic: Chi-square
540
X
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.
Degrees of freedom:
AA
$
(b) Find the value of the test statistic. (Round your answer to
two or more decimal places.)
7.309
(c) Find the p-value. (Round your answer to three or more
decimal places.)
0.0627
(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?
OYes No
X
Transcribed Image Text:e E Knowledge Check www-awu.aleks.com 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 $40 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 540 correct answers. The second row of numbers contains the frequencies expected for a sample of 540 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-fx) (Observed frequency-Expected frequency) SE Expected frequency Send data to Excel) Observed frequency fo 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 (10-1² responses to three or more decimal places. JE Expected frequency JE (Jo-18)² A 113 135 B 156 Question 5 135.00 с 130 135 D 135.00 3.59 3.267 0.185 0.267 Total (a) Determine the type of test statistic to use. Type of test statistic: Chi-square 540 X 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. Degrees of freedom: AA $ (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 7.309 (c) Find the p-value. (Round your answer to three or more decimal places.) 0.0627 (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? OYes No X
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