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dimaraw [331]
3 years ago
9

One toothpick is 0.13 inch long, another is 0.33 inch. Which length is greater?

Mathematics
2 answers:
strojnjashka [21]3 years ago
7 0
Well, 0.33 > 0.13.
So, 0.33 inches is greater than 0.13 inches.
anygoal [31]3 years ago
4 0
0.33 is longer than 0.13
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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.

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For this problem, we have that:

The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. This means that n = 411, \pi = \frac{50}{411} = 0.12

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So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{411}} = 0.12 - 2.575\sqrt{\frac{0.12*0.88}{411}} = 0.0787

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{411}} = 0.12 + 2.575\sqrt{\frac{0.12*0.88}{411}} = 0.1613

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