What is the slope of the line? y-3=5(x-2)

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

Find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1

ella [17]

Answer:

$k = 31$

Step-by-step explanation:

Given

$f(x) = 4x^2 - 2x^2 + kx + 5$

$r = -10$ --- remainder

$d = 2x + 1$ --- divisor

Required

Find k

We have:

$d = 2x + 1$ --- divisor

Equate to 0

$2x + 1 = 0$

Solve for x

$2x = -1$

$x =-0.5$

This means that:

$f(-0.5)=-10$

So, we have:

$4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10$

$0.5 -0.5k + 5 =-10$

Collect like terms

$-0.5k=-10-5-0.5$

$-0.5k=-15.5$

Solve for k

$k = -15.5/-0.5$

$k = 31$

8 0

3 years ago

Ralph wants to estimate the percentage of coworkers that use the company's healthcare. He asks a randomly selected group of 200

mel-nik [20]

Answer:

e.

Step-by-step explanation:

The parameter is used to measure the population or in other words the measurement taken from a population is known as parameter. Here, the population will be all the co-workers that use company's healthcare. The percentage calculated for all co-workers that use company's healthcare will be the measurement calculated from population. Thus, the parameter will be the percentage of all the co-workers that use the company's healthcare.

8 0

3 years ago

Can someone help me answer this

VikaD [51]

C

Your welcome lolololololol

8 0

3 years ago

Read 2 more answers

(10 points)

kiruha [24]

Step-by-step explanation:

Im not sure ut it looks like 3x over 3x would cancel eachother out.

8 0

3 years ago