Question

Sunshine High School claims that 72% of its students complete their homework on a daily basis. Ms. Carter surveyed 80 students and found that only 60% complete their daily homework. What does the test statistic calculation look like in this situation for an appropriate hypothesis test? z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80 z equals 0.60 minus 0.72 all over the square root of the quantity 0.60 times 0.40 over 80

Answer 1

Answer: z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80

Explanation:

let p be the population proportion of students complete their homework on a daily basis.

As per given , we have

p= 0.72

sample size : n= 80

Sample proportion :
`\hat{p}=0.60`

Test statistic for proportion:

`z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}`

i.e.

`z=\frac{0.60-0.72}{\sqrt{(0.72(1-0.72))/(80)}}`

i.e.

`z=\frac{0.60-0.72}{\sqrt{(0.72(0.28))/(80)}}`

That is , z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80