Answer:
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
Step-by-step explanation:
<em>Step(i)</em>:-
<em>Given sample size 'n' =300</em>
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
<em>Given sample proportion </em>
<em> </em>![p^{-} = \frac{x}{n} = \frac{182}{300} =0.606](https://tex.z-dn.net/?f=p%5E%7B-%7D%20%20%3D%20%5Cfrac%7Bx%7D%7Bn%7D%20%3D%20%5Cfrac%7B182%7D%7B300%7D%20%3D0.606)
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
<em>90% confidence interval for the proportion is determined by</em>
![(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })](https://tex.z-dn.net/?f=%28p%5E%7B-%7D%20-%20Z_%7B0.10%7D%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D%20%20%2C%20p%5E%7B-%7D%20%2BZ_%7B0.10%7D%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D%29)
![(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })](https://tex.z-dn.net/?f=%280.6066%20-%201.645%5Csqrt%7B%5Cfrac%7B0.6066%281-0.6066%29%7D%7B300%7D%20%7D%20%20%2C0.6066%2B1.645%5Csqrt%7B%5Cfrac%7B0.6066%281-0.6066%29%7D%7B300%7D%20%7D%29)
(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
<u>final answer</u>:-
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
what is the mean of this data set? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18. answers: 13.50, 14.00, 14.75, and 15.75
murzikaleks [220]
Answer:
14.75
Step-by-step explanation:
Add them all up, divide by 12
The wire, the pole and the segment joining the leg of the pole to the wire in the ground form a right triangle whose hypotenuse is the wire, and the side opposite to the angle 36° is the pole.
By right triangle trigonometry, sin36°=(opposite side)/(hypotenuse.)
Substituting, we have 0.588=(opposite side)/220, thus the length of the opposite side, which represents the length of the pole, is
0.588*220 ft=129.3 ft
Answer: The 3 is the numerator.
The top number is always the numerator.
Answer:
x=75
Step-by-step explanation:
A triangle is 180° in total and the equation was (2x+30)° if you subtract 30 from 180 you get 150 if you divide that by 2 you get 75.
Answer: 2(75) + 30° =180°