Fix the roads~The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed 120 residents and calculated a 90% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.526, 0.674). Which of the following is a 99% confidence interval using the same survey data?A. (.512, .688)B. (.48, .715)C. (.536, .664)

The 99% confidence interval of the sample proportion obtained for the 95% confidence interval is (0.48; 0.715)

From the interval given :

Standard deviation of proportion :

Hence, the standard deviation, σ is :

Z* = The Critical value at 99% confidence interval = 2.576

The confidence interval can be calculated thus :

Lower boundary = (0.60 - 2.576(0.0447)) = 0.4848

Upper boundary = (0.60 - 2.576(0.0447)) = 0.715

Therefore, the confidence interval is (0.485 ; 0.715)

Learn more : link

B) 99% confidence interval is (0.485,0.715)

Step-by-step explanation:

We are given a 90% confidence interval constructed for a population proportion using a sample size of 120. We have to construct a 99% confidence interval from this data. For this first we need the value of sample proportion i.e. the point estimate.

The 90% confidence interval is: (0.526, 0.674). Remember that the point estimate is at an equal distance from both upper limit and lower limit of the confidence interval. So finding out the average of both the limits will give us their middle value i.e. the point estimate or the value of sample proportion.

So, the value of sample proportion will be:

Now we can calculate the 99% confidence interval using the formula:

Here, is the critical z value for given confidence level. For 99% confidence level, the z value from z-table comes out to be 2.576. The sample size n is given to be 120. Using all these values, we get:

Therefore, 99% confidence interval is (0.485,0.715)

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: