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Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 140 employee absences. The distribution of these 140 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 140 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 140 employee absences. The distribution of these 140 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 140 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.

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
Section10.6: Summarizing Categorical Data
Problem 38HP
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1:03 Done Knowledge Check Observed frequency fo Expected frequency SE (fo-ƒE)² JE expected frequencies to two or more decimal places. REspañol yo responses to three or more decimal places. Send data to Excel www-awu.aleks.com AA Monday Tuesday Wednesday Thursday 29 18 0 28.00 3.571 34 28.00 1.286 Type of test statistic: (Choose one) ▼ Z (b) Find the value of the t more decimal places.) □ all 100 28 28.00 (a) Determine the type of test statistic to use. Chi-square Friday Total 31 0 0.000 0 Evelyn V Ć 140 Part 2 Answer the following to summarize the test of the hypothesis employee absences at this firm are equally likely on each of th weekdays. Use the 0.05 level of significance for the test. E (Round your answer to two or
Transcribed Image Text:1:03 Done Knowledge Check Observed frequency fo Expected frequency SE (fo-ƒE)² JE expected frequencies to two or more decimal places. REspañol yo responses to three or more decimal places. Send data to Excel www-awu.aleks.com AA Monday Tuesday Wednesday Thursday 29 18 0 28.00 3.571 34 28.00 1.286 Type of test statistic: (Choose one) ▼ Z (b) Find the value of the t more decimal places.) □ all 100 28 28.00 (a) Determine the type of test statistic to use. Chi-square Friday Total 31 0 0.000 0 Evelyn V Ć 140 Part 2 Answer the following to summarize the test of the hypothesis employee absences at this firm are equally likely on each of th weekdays. Use the 0.05 level of significance for the test. E (Round your answer to two or
Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 140 employee absences. The distribution of these 140 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 140 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-SB)² (Observed frequency - Expected frequency)² Expected frequency JE Part 1 (So-fE)² 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 Jo Expected frequency fE (Jo-JE)² fe Monday Tuesday Wednesday Thursday Friday Total 29 18 28.00 0 3.571 34 28.00 1.286 28 28.00 0.000 (a) Determine the type of test statistic to use. 31 140 Part 2 Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the 0.05 level of significance for the test. X Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) (d) Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? OYes ONO X S ? 扁
Transcribed Image Text:Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 140 employee absences. The distribution of these 140 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 140 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-SB)² (Observed frequency - Expected frequency)² Expected frequency JE Part 1 (So-fE)² 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 Jo Expected frequency fE (Jo-JE)² fe Monday Tuesday Wednesday Thursday Friday Total 29 18 28.00 0 3.571 34 28.00 1.286 28 28.00 0.000 (a) Determine the type of test statistic to use. 31 140 Part 2 Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the 0.05 level of significance for the test. X Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) (d) Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? OYes ONO X S ? 扁
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