eE Knowledge Checkwww-awu.aleks.comMore than one teacher has given the following advice: choose answer Cwhen 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 $40 correct answers frommultiple-choice tests for introductory college courses and obtain theinformation summarized by the first row of numbers in the table below.These numbers are the observed frequencies for the categoriesA, B, C, and D for our sample of 540 correct answers. The second row ofnumbers contains the frequencies expected for a sample of 540 correctanswers if a correct answer is equally likely to be A, B, C, or D. Thebottom row of numbers contains the following value for each of thecorrect answer categories A, B, C, and D.(fo-fx) (Observed frequency-Expected frequency)SEExpected frequencySend data to Excel)ObservedfrequencyfoPart 1Fill in the missing values in the table. Round your responses for theexpected frequencies to two or more decimal places. Round your(10-1²responses to three or more decimal places.JEExpectedfrequencyJE(Jo-18)²A113135B156Question 5135.00с130135D135.003.59 3.267 0.185 0.267Total(a) Determine the type of test statisticto use.Type of test statistic: Chi-square540XPart 2Answer the following to summarize the test of the hypothesis thateach of A, B, C, and D is equally likely to be the correct answer ontests in these introductory college courses. Use the 0.10 level ofsignificance for the test.Degrees of freedom:AA$(b) Find the value of the test statistic. (Round your answer totwo or more decimal places.)7.309(c) Find the p-value. (Round your answer to three or moredecimal places.)0.0627(d) Can we reject the hypothesis that A, B, C, and D are equallylikely to be the correct answer on tests in these introductorycollege courses?OYes NoX

The given data table is: A B C D Total Observed frequency; fO 113 156 130 141 540 Expected…

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

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 5CT