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4 years ago

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A theme park had 674,989 visitors in June and 812,383 visitors in July. In August the park has more visitors than June, but fewe

r visitors than in July. Which of the following could be the number of visitors in August?

1 answer:

Vlad [161]4 years ago

7 0

Its C (765,124) because it has more than June and less than july

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Answer:

a. [0.137, 0.503]

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

A sample of 25 students in the lab, of whom 8 smoke. So $n = 25, \pi = \frac{8}{25} = 0.32$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{25}} = 0.137$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{25}}{119}} = 0.503$

The correct answer is:

a. [0.137, 0.503]

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Step-by-step explanation:

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