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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 520 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 520 correct answers. The second row of numbers contains the frequencies expected for a sample of 520 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. (10-12) JE 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 to three or more decimal places. Send data to Excel Observed frequency fo Expected frequency JE (Observed frequency - Expected frequency)² Expected frequency (10-12)² JE B с D 132 146 115 127 0 130.00 0 130.00 0 1.969 0 0.069 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) Total 520 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 test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 (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 O No (Jo-12)² JE X responses

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 520 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 520 correct answers. The second row of numbers contains the frequencies expected for a sample of 520 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. (10-12) JE 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 to three or more decimal places. Send data to Excel Observed frequency fo Expected frequency JE (Observed frequency - Expected frequency)² Expected frequency (10-12)² JE B с D 132 146 115 127 0 130.00 0 130.00 0 1.969 0 0.069 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) Total 520 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 test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 (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 O No (Jo-12)² JE X responses

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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choose c blindly
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 520 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 520 correct answers. The second row of numbers contains the frequencies expected for a sample of 520 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. 2 (fo-f) (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 to three or more decimal places. Send data to Excel Observed frequency fo Expected frequency JE (Jo-12² JE 132 146 130.00 1.969 C D 115 127 520 130.00 0.069 Total Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ X 5 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 test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 (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 O No (fo-1E)² JE X responses
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 520 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 520 correct answers. The second row of numbers contains the frequencies expected for a sample of 520 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. 2 (fo-f) (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 to three or more decimal places. Send data to Excel Observed frequency fo Expected frequency JE (Jo-12² JE 132 146 130.00 1.969 C D 115 127 520 130.00 0.069 Total Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ X 5 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 test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 (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 O No (fo-1E)² JE X responses
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