The number of successes and the sample size are given for a simple random sample from a population. Decide whetherusing the one-proportion z-test is appropriate.
-$x = 60 , n = 120 , H _ { 0 } : p = 0.6 , H _ { a } : p

Question

The number of successes and the sample size are given for a simple random sample from a population. Decide whetherusing the one-proportion z-test is appropriate.
-$x = 60 , n = 120 , H _ { 0 } : p = 0.6 , H _ { a } : p < 0.6$
A)Appropriate
B) Not appropriate

Quizplus · Accepted Answer

The one-proportion z-test is appropriate here because the sample size is large enough (n = 120) to assume the distribution of the sample proportion is approximately normal (np = 72 and n(1-p) = 48, both greater than 10), which meets the requirements for conducting a one-proportion z-test.

The Number of Successes and the Sample Size Are Given x=60,n=120,H0:p=0.6,Ha:p<0.6x = 60 , n = 120 , H _ { 0 } : p = 0.6 , H _ { a } : p < 0.6x=60,n=120,H0​:p=0.6,Ha​:p<0.6

The Number of Successes and the Sample Size Are Given $x = 60 , n = 120 , H _ { 0 } : p = 0.6 , H _ { a } : p < 0.6$