Find A and C for both questions

A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m

Pachacha [2.7K]

Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

$\mu=\pi=0.328$

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

$\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094$

B) The fraction with sample proportion of 0.45 or higher is

$z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714$

C) The fraction with sample proportion of 0.20 or lower is

$z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866$

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

$z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208$

7 0

3 years ago

Danielle’s retirement income is $90,000. Assuming it is 70% of his final salary, what was her final salary

Nitella [24]

Answer: C

Step-by-step explanation:

8 0

4 years ago

8x 1/4 how to simplify the radical expression

const2013 [10]

There are only two steps to solve this problem.

The first step is to multiply the whole number (8) by the numerator (1). 8 times 1 equals 8, so 8 is our new numerator and our fraction should look like: 8/4.

The second step is to simplify it down even further. To do so, you need to figure our what multiples by 4 to get the answer of 8. 4 times what equals 8? The answer should be 2, since 4 times 2 multiples to 8.

The answer is: 2.

3 0

3 years ago

The endpoints of EF are E(2, 3) and F(8, 11). The midpoint of EF is M.<br> Find the length of EM.

Serga [27]

The midpoint of EF is M. The length of EM is 5

Given :

The endpoints of EF are E(2, 3) and F(8, 11).

M is the midpoint of EF

Lets find out the midpoint M using midpoint formula

$(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\E (x_1,y_1) is (2,3)\\F(x_2,y_2) is (8,11)$

Substitute the values inside the formula

$(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\\\(\frac{2+8}{2} ,\frac{3+11}{2} )\\\\(5,7)$

Midpoint M is (4,7)

Now to find out length of EM, we use distance formula

$Distance = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\mathrm{The\:distance\:between\:}\left(2,\:3\right)\mathrm{\:and\:}\left(5,\:7\right)\\\sqrt{\left(5-2\right)^2+\left(7-3\right)^2}\\\sqrt{3^2+4^2} \\\sqrt{25}\\5$

So, length of EM= 5

Learn more : brainly.com/question/18332427

5 0

3 years ago

Help me to do this please

Tanzania [10]

If x represents the mass of 1 ball in kg, then the balance shows ...

... 6x = x + 9 kg

... 5x = 9 kg

Then 6x is ...

... (6/5)·5x = (6/5)·9 kg = 10.8 kg

0.8 kg = 0.8·1000 g = 800 g

so 10.8 kg is ...

... D. 10 kg 800 g

7 0

3 years ago