Answer:
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
- p(s) is the sample proportion of high school teachers who were single (
) - p is the proportion of elementary teachers who were single (
)
- N is the sample size (180)
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)
Answer:
Step-by-step explanation:
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<u>Answer:</u>
"It is used when you solve an equation in algebra" is the untrue statement.
<u>Step-by-step explanation:</u>
"It is used when you solve an equation in algebra."
When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.
"It is used to make broad generalizations using specific observations."
This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.
"It is used to prove basic theorems."
This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.
"It is used to prove that statements are true."
Using your own observations, you can draw your own conclusions to prove what you are saying is factual.
That would be the area of a circle of radius 12 miles
= pi r^2 = 452.4 square miles to nearest tenth.