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 540 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-ft)² (Observed frequency - Expected frequency)² 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 (Jo-JE) responses to three or more decimal places. JE Send data to Excel Observed frequency Jo Expected frequency SE (Jo-JE)² SE A 113 B 156 с 130 D 141 135.00 0 135.00 0 3.267 0 0.267 Total 540 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 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. (b) Find the value of the chi-square c. (Round your answer to two or more decimal place 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 S
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 540 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-ft)² (Observed frequency - Expected frequency)² 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 (Jo-JE) responses to three or more decimal places. JE Send data to Excel Observed frequency Jo Expected frequency SE (Jo-JE)² SE A 113 B 156 с 130 D 141 135.00 0 135.00 0 3.267 0 0.267 Total 540 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 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. (b) Find the value of the chi-square c. (Round your answer to two or more decimal place 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 S
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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