To conduct a hypothesis test for one proportion, two requirements must be met. Suppose p = 1/10. What is the smallest n can be and both requirements still be met?

To met both conditions, the smallest sample size n should be 50.

Step-by-step explanation:

To test a claim about proportion there are two requirements that must be met:

1) The sample observations are a simple random sample

2) The conditions for a binomial distribution are satisfied, that is:

In this case, p=0.1, so first we have:

Second,

To met both conditions, the smallest sample size n should be 50.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

step-by-step explanation:

in which figure is point g a centroid