If sample proportion is 0.476 and margin of error is given as 0.044 then find the respective confidence interval

X less than 42 is 15<br><br> Which equation represents this scenario?

Lelu [443]

Answer:

42 is 15

Step-by-step explanation:

42 is 15 because of x

4 0

3 years ago

Answer this please please please please please

Sergio [31]

Answer:

4.5 cm

Step-by-step explanation:

Circunference = 2π*radius = 2*3.14*radius = 6.28*radius = 28.26

so radius = 28.26/6.28 = 4.5 cm

8 0

2 years ago

A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti

Gre4nikov [31]

Answer:

a. .92

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The lower bound is the point estimate $\pi$ subtracted by the margin of error.

The upper bound is the point estimate $\pi$ added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

$\pi = \frac{0.372 + 0.458}{2} = 0.415$

Sample of 400, which means that $n = 400$

Margin of error is the estimate subtracted by the lower bound. So $M = 0.415 - 0.372 = 0.043$

We have to find z.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.043 = z\sqrt{\frac{0.415*0.585}{400}}$

$z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}$

$z = 1.745$

$z = 1.745$ has a pvalue of 0.96.

This means that:

$1 - \frac{\alpha}{2} = 0.96$

$\frac{\alpha}{2} = 1 - 0.96$

$\frac{\alpha}{2} = 0.04$

$\alpha = 0.08$

Confidence level:

$1 - \alpha = 1 - 0.08 = 0.92$

So the correct answer is:

a. .92

7 0

3 years ago

Given the following sets.

Solnce55 [7]

$A=\{0,\ 1,\ 2,\ 3\}\\\\B=\{a,\ b,\ c,\ d\}\\\\A\ \cap\ B=\O\ (empty\ set)$

The intersection of A and B, denoted by A ∩ B, is the set of all things that are members of both A and B.

4 0

3 years ago

Compare the graphs below of the logarithmic functions. Write the equation to represent g(x).

Neporo4naja [7]

Answer:

The equation to represent g(x) will be $g(x)=log(x)+4$

Step-by-step explanation:

Considering the logarithmic function

$f(x)=log(x)$

As we know that when a constant c gets added to the parent function, the result would be a vertical shift c units in the direction of the sign of c.

So,

$g(x)=log(x)+4$ is basically the shift up by 4 units, and the graph also showing the same situation.

Therefore, the equation to represent g(x) will be $g(x)=log(x)+4$

Also, the graphs of both $f(x)=log(x)$ and $g(x)=log(x)+4$ is attached where black mark graph represents $f(x)=log(x)$ and red mark graph represents $g(x)=log(x)+4$ .

Keywords: transformation, vertical shift, graph

Learn more about transformation and vertical shift from brainly.com/question/11863790

#learnwithBrainly

4 0

3 years ago

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