Problem 2-A on Ch 12- The National Sleep foundation determines whether hours of

Question

Problem 2-A on Ch 12- The National Sleep foundation determines whether hours of sleep per night are independent of age based on survey data. A sample of 500 individuals is used on a test of independence. Using a 0.05 level of statistical significance, test whether hours of sleep are independent of age. The hypothesis setting and table with data collected follows:

H0 : hours of sleep is independent of age
Ha : hours of sleep is not independent of age

Hours of Sleep less than 39 years old 40 years old, or older Total sleep hours

less than 6 hours 80 100 180

More than 6 hours 150 170 320

total for age group 230 270 500

2.1 The test statistic for this problem is..............

4.316

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var9
Columns: None

Chi-Square test:

Hence,

Test statistic = 0.272

Option C is correct.

Less than 39 years old 40 years or more Total Less than 6 Hours 80 100 180 More than 6 Hours 150 170 320 Total 230 270 500

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