A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress. Assuming the conditions for inference are met, what is the 95 percent confidence interval for the difference in proportions of patients experiencing stress relief from the yoga and meditation groups? Use the z -table.
Answer
A
open paren 0 point 6 0 minus 0 point 7 0 close paren plus or minus 1 point 9 6 square root of the fraction with numerator 0 point 6 0 times open paren 1 minus 0 point 6 0 close paren and denominator 100 plus the fraction with numerator 0 point 7 0 times open paren 1 minus 0 point 7 0 close paren and denominator 100 end root
B
open paren 0 point 6 0 minus 0 point 7 0 close paren plus or minus 1 point 6 5 square root of the fraction with numerator 0 point 6 0 times open paren 1 minus 0 point 6 0 close paren and denominator 50 plus the fraction with numerator 0 point 7 0 times open paren 1 minus 0 point 7 0 close paren and denominator 50 end root
C
open paren 0 point 4 0 minus 0 point 3 0 close paren plus or minus 1 point 6 5 square root of the fraction with numerator 0 point 4 0 times open paren 1 minus 0 point 4 0 close paren and denominator 100 plus the fraction with numerator 0 point 3 0 times open paren 1 minus 0 point 3 0 close paren and denominator 100 end root
D
open paren 0 point 6 0 minus 0 point 7 0 close paren plus or minus 1 point 9 6 square root of the fraction with numerator 0 point 6 0 times open paren 1 minus 0 point 6 0 close paren and denominator 50 plus the fraction with numerator 0 point 7 0 times open paren 1 minus 0 point 7 0 close paren and denominator 50 end root