PLEASE HELP!! Find mCFD 180° 276 307 53°

Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of offi

Pani-rosa [81]

Answer:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

Step-by-step explanation:

$p_1$ represent the real population proportion for 1

$\hat p_1 =\frac{22}{165}=0.13$ represent the estimated proportion for 1

$n_1=165$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =\frac{14}{140}=0.10$ represent the estimated proportion for 2

$n_2=140$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 99% confidence interval the significance is $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , and the critical value using the normal standard distribution.

$z_{\alpha/2}=2.58$

Replacing we got:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

8 0

3 years ago

Please help me quick

Nesterboy [21]

120.25 I just divided the figure into smaller shapes, found the value and then I added the areas together! :)

7 0

4 years ago

Read 2 more answers

PLEASE HELP!! Factor. 4x^2−49y^2

Zanzabum

Answer:

(2x-7y) (2x+7y)

Step-by-step explanation:

4x^2−49y^2

This is the difference of squares

a^2 - b^2 = (a-b) (a+b)

a^2 =4x^2 so a = 2x

b^2 = 49y^2 so b =7y

4x^2−49y^2 = (2x-7y) (2x+7y)

5 0

3 years ago

Which of the following can be a solution to the inequality below? 2x > 6. Pls send help

Citrus2011 [14]

Answer:

x>3

Step-by-step explanation:

you divide both sides by 2 then you get three. The sign remains the same.

3 0

3 years ago

A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 4343 states. what is the probability that

QveST [7]

If the 4 states have to be in a specific order say ABCD, then the total number of different possible routes is:

43P4 = 2,961,840

So the probability is:

1 / 2,961,840 = 3.38 x 10^-7

But if the 4 states can be in any order such as DBAC, ACBD etc, then the total number of different possible routes is:

43C4 = 123,410

So the probability is:

1 / 123,410 = 8.1 x 10^-6

No I don’t think it is practical to list all the different possible routes to select the one that is best. We can simply use mathematical models to solve for that one.

4 0

3 years ago