Answer:
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
Step-by-step explanation:
The national average is 17% .The z proportional hypothesis test is used.
1) Let the null and alternate hypothesis be
H0: p =0.17
against the claim
Ha: p ≠ 0.17
Choose the significance level ∝= 0.05
The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.
Computing
z= p^-p / sqrt [pq/n]
Z= 0.22-0.17/ √0.17*(1- 0.17)/90147
z= 39.965
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
is continuous over its domain, all real
.
Meanwhile,
is defined for real
.
If
, then we have
as the domain of
.
We know that if
and
are continuous functions, then so is the composite function
.
Both
and
are continuous on their domains (excluding the endpoints in the case of
), which means
is continuous over
.
Answer:
Yes (432 = 9 x48).
Step-by-step explanation:
The trick you need to know is the theorem that says that if the digits in a number add up to a multiple of 9, then the number itself is divisible by 9.
So we go 4+3+2 = 9.
So as this sum of 9 is divisible by 9, it means 432 is also divisible by 9.
If you want to work out the actual answer of 432 divided by 9, you can estimate it by doing 450 ÷ 9 = 50. Then see that 432 is 18 less than 450. And 18 = 2x9. So the answer to the division is 50-2 = 48.
The original price of the paper was $3.50
I hope this helps! let me know if you need help with anything else! I'd be happy to help you in anyway I can! :)
