Exercise 13. Independence. A researcher is interested in determining if there is a relationship between exercise and blood pressure for adults over 50. A random sample of 590 adults over 50 is selected and the results are given below. Test the claim that walking and blood pressure are dependent. Use α = 0.05.
Exercise Blood Pressure
Low. Moderate High
Walkers 88 155 62
Non-walkers 53 162 70
let us consider
H0 : there is no relationship between exercise and blood pressure for adults over 50
H1 : there is a relationship between exercise and blood pressure for adults over 50
actual values (O)
Low. Moderate High
Walkers 88 155 62
Non-walkers 53 162 70
Expected Values:(E)
Low . Moderate High
walkers 72.8898 163.873 68.2373
non walkers 68.1102 153.127 63.7627
Chi-Squared Values:
Low . Moderate High
walkers 3.13236 0.480421 0.570125
non walkers 3.35217 0.514135 0.610133
Chi-Square = 8.65935
Degrees of Freedom = 2
p = 0.0131718
since p value is less than 0.05 so we reject the null hypothesis and conclude that there is a relationship between exercise and blood pressure for adults over 50
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