Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of offices in two cities was selected, and the number of vacancies was recorded. The data are linked below. Construct a 99% confidence interval to estimate the difference in vacancy rates between these two cities. What conclusions can be made? city 1 city 2
x1=22 x2=14
n1=165 n2=140

We are confident at 99% that the difference between the two proportions is between . 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:

represent the real population proportion for 1

represent the estimated proportion for 1

is the sample size required for 1

represent the real population proportion for 2

represent the estimated proportion for 2

is the sample size required for 2

represent the critical value for the margin of error  

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

For the 99% confidence interval the significance is and , and the critical value using the normal standard distribution.  

Replacing we got:

We are confident at 99% that the difference between the two proportions is between . 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

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns