Arecent survey showed that in a sample of 100 elementary school teachers, 15 were single. in a sample of 180 high school teachers, 36 were single. is the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single? use α = 0.01.

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1  be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

: p2=p1

: p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

where

Using the numbers, we get

≈ 1.88

Using z-table, corresponding  P-Value is ≈0.03

Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.