In a sample of 1702 companies from year 2000, there are 1253 companies that pay a stock dividend to its shareholders, there are 878 companies that pay their CEO’s over $1 million in total compensation, and there are 673 firms that pay a dividend and pay their CEO’s over $1 million in total compensations. The following table describes this joint distribution.     Dividend Not Dividend Total Over $1 Million 673 205 878 Not over $1 million 580 244 824 Total 1253 449 1702   When testing the hypothesis (using the 5% level of significance) that the compensation of the CEO and whether the company pays a dividend are independent, if the p-value .003 what would you conclude concerning the null hypothesis?     reject the null hypothesis that the variables are independent     fail to reject the null hypothesis that the variables are independent

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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In a sample of 1702 companies from year 2000, there are 1253 companies that pay a stock dividend to its shareholders, there are 878 companies that pay their CEO’s over $1 million in total compensation, and there are 673 firms that pay a dividend and pay their CEO’s over $1 million in total compensations. The following table describes this joint distribution.
 

 
Dividend
Not Dividend
Total
Over $1 Million
673
205
878
Not over $1 million
580
244
824
Total
1253
449
1702

 
When testing the hypothesis (using the 5% level of significance) that the compensation of the CEO and whether the company pays a dividend are independent, if the p-value .003 what would you conclude concerning the null hypothesis?

   

reject the null hypothesis that the variables are independent

   

fail to reject the null hypothesis that the variables are independent

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