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lord [1]
3 years ago
8

WATCH OUT FOR LINKS PEOPLE ARE PUTTING INAPPROPRIATE LINKS IN ANSWERS OR COMMENTS. DONT CLICK

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

Answer: Thanks for notifying everyone

Step-by-step explanation:

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One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine th
Tems11 [23]

Answer:

The width of the interval would increase.

Step-by-step explanation:

7 0
2 years ago
The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses.
Luden [163]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

If we had increased the confidence level, the margin of error also would have increased.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96. Increasing the confidence level, z also increases, hence the margin of error also would have increased.

The sample size and the estimate are given as follows:

n = 450, \pi = 0.47.

The lower and the upper bound of the interval are given, respectively, by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 - 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.4239

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 + 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.5161

The 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0
1 year ago
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