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Keith_Richards [23]
2 years ago
5

In a recent study, your town's chamber of commerce found that 73% of town residents believed that local businesses overcharged f

or their products. the source of this information was a telephone survey of 1,000 town residents. find a 95% confidence interval for the average percentage of everyone in your town who believes that local businesses overcharge.
Mathematics
1 answer:
Dominik [7]2 years ago
4 0

The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)

<h3>What is meant by confidence interval?</h3>

The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.

<h3>According to the given information:</h3>

Sample size n = 1000

73% of town residents believed that local businesses overcharged for their products over 1000 resident.

= (1000/100) x 73

= 730

Sample proportion p = 730/1000

                                    = .73

q = 1-p = 0.23

Std error of proportion = √(pq/n)

                                      = √((.73*0.27)/1000)

                                      = 0.0140

95% Z critical value = 1.96

Margin of error = 1.96*0.0140

                          = 0.0274

Confidence interval = sample proportion ±margin of error

(0.7026, 0.7574)

To know more About Confidence interval visit:

brainly.com/question/14018374

#SPJ4

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