The numbers of successes and the sample sizes are given for independent simple random samples from two populations.Decide whether using the two-proportions z-procedures is appropriate.
-$\mathrm { x } _ { 1 } = 44 , \mathrm { n } _ { 1 } = 50 , \mathrm { x } _ { 2 } = 20 , \mathrm { n } _ { 2 } = 24$
A)Appropriate
B) Not appropriate

Question

Quizplus · Accepted Answer

The two-proportions z-procedure requires that both $np$ and $n(1-p)$ be greater than 5 for each sample. For the first sample, $44$ and $6$ satisfy this condition, but for the second sample, $20$ satisfies it while $4$ does not, making the procedure not appropriate.

The Numbers of Successes and the Sample Sizes Are Given x1=44,n1=50,x2=20,n2=24\mathrm { x } _ { 1 } = 44 , \mathrm { n } _ { 1 } = 50 , \mathrm { x } _ { 2 } = 20 , \mathrm { n } _ { 2 } = 24x1​=44,n1​=50,x2​=20,n2​=24

The Numbers of Successes and the Sample Sizes Are Given $\mathrm { x } _ { 1 } = 44 , \mathrm { n } _ { 1 } = 50 , \mathrm { x } _ { 2 } = 20 , \mathrm { n } _ { 2 } = 24$