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goldenfox [79]
3 years ago
9

. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive ep

isode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Mathematics
1 answer:
mestny [16]3 years ago
5 0

Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)

<u>Using</u><u> </u><u>the</u><u> </u><u>relation</u><u> </u><u>:</u>

<u>p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} }</u>

  • Sample size, n = 40467

  • Sample proportion, p = 3156/40467 = 0.078

  • Zcrit at 95% = 1.96

  • Margin of Error = 1.96 \sqrt{ \frac{0.078(0.922)}{40467} }

  • Margin of Error = 0.0026128

Lower boundary = 0.078 - 0.0026128 = 0.075

Upper boundary = 0.078 + 0.0026128 = 0.081

Hence, the confidence interval is (0.075; 0.081)

Learn more :

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Step-by-step explanation:

A coin only has two sides to flip on and is equally probably flip heads or tails. If you flipped the coin 20 times you could expect to flip 10 heads and 10 tails.

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An airplane started at point K, travelled 560 miles to point L, adjusted its route and travelled another 575 miles to point M. I
S_A_V [24]

Answer:

Step-by-step explanation:

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\beta =cos^{-1} (\frac{560^{2}+575^{2}-952^{2}   }{2*560*575} )

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What is the correct way to check the solved equation<br> 4,127÷3=1,375 remainder 2<br>​
Dafna11 [192]

the quickest way to do this would be to multiply 1,375 by 3 and then add 2.

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correct!

6 0
3 years ago
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Sebastian measures a line to be 9.2 inches long. if the actual length of the line is 19.5 inches, then what was the percent erro
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Answer:

47%

Step-by-step explanation:

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