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The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 38 56 80 66 240 50 or older 35 57 79 89 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. Compute the value of the X 2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours % 6 to 6.9 hours % 7 to 7.9 hours 8 or more hours %

The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 38 56 80 66 240 50 or older 35 57 79 89 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. Compute the value of the X 2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours % 6 to 6.9 hours % 7 to 7.9 hours 8 or more hours %

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 4BGP
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The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.

The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep TIZT: Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 38 56 80 66 240 50 or older 35 57 79 89 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. 2 Compute the value of the X 2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours % 6 to 6.9 hours % 7 to 7.9 hours % 8 or more hours %
Transcribed Image Text:The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep TIZT: Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 38 56 80 66 240 50 or older 35 57 79 89 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. 2 Compute the value of the X 2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours % 6 to 6.9 hours % 7 to 7.9 hours % 8 or more hours %
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