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kupik [55]
3 years ago
10

Detailed surveys are sent to 13,000 organizations on the Internet to determine who uses the Internet more (women or men). 1,468

responses were received. The margin of error was 2.8 percent, with a confidence level of 95%. What was the response rate for this survey
Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer: 11.29%

Step-by-step explanation:

Given : The sample size : n= 13,000

The number of responses we received = 1,468

Then , the response rate for this survey is given by :-

\hat{p}=\dfrac{\text{\text{Number of response received }}}{\text{Sample size}}\\\\\Rightarrow\ \hat{p}=\dfrac{1468}{13000}=0.112923076923\approx0.1129

In percent , the response rate = 11.29\%

Hence, the response rate = 11.29%

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Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

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To put it all together...

\frac{26,000-7,352.24}{12}

Now all we have to do is solve!

\frac{26,000-7,352.24}{12}

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1,553.98

Answer:

Latoya will get paid $1,553.98 with each paycheck.

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