90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ].
Here, we have given:
Number of adults (n) = 2272
Number of adults who believe in UFO (x) = 724
Sample proportion (p) = x/n
p = 724 / 2272
p = 0.3187
now, let q = 1 - p
q = 1 - 0.3187
q = 0.6813
Confidence level → 90%
The 90% confidence interval for population proportion is
![[ p - 1.645\frac{\sqrt{pq} }{\sqrt{n}} ,p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} ]](https://tex.z-dn.net/?f=%5B%20p%20-%201.645%5Cfrac%7B%5Csqrt%7Bpq%7D%20%7D%7B%5Csqrt%7Bn%7D%7D%20%2Cp%20%2B%201.645%5Cfrac%7B%5Csqrt%7Bpq%7D%20%7D%7B%5Csqrt%7Bn%7D%7D%20%5D)
where 1.645 is Zac value at 90% confidence level.
= 0.3187 - 0.0161 = 0.3026
= 0.3187 + 0.0161 = 0.3348
90% confidence interval for the population proportion is
[ 0.3026, 0.3348 ]
Hence, With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ]
Learn more about " Population Proportion " from here: brainly.com/question/15087042
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Number of students who secured first class in English only is 20
Step-by-step explanation:
- Step 1: Find the number of students who secured first class in English only.
Total number of students who secured first class in English or Maths, T = 80
Number of students who secured first class in Maths, M = 50
Number of students who secured first class in both English and Maths, EM = 10
⇒ Let the number of students who secured first class in English only be x.
Total students with first class, T = M + EM + x
⇒ 80 = 50 + 10 + x
⇒ 80 = 60 + x
∴ x = 80 - 60 = 20
Answer:
none of these
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
1/3 can be used as an expression that is exactly the same as 2/3x5.
When you multiply 2/3 x 5-
Look here if you need help solving 2/3 X 5: (2/3 x 5/1...is the simplest way to multiply the two, make sure to multiply 2 by 5 and 3 by 1 to get your answer.)(5x2=10...3x1=3)
-you get 10/3. This answer simplified is 1/3. So in the end, 1/3 is a great expression or answer to use as an equivalent to the equation 2/3 x 5.
Hoped this helped! :)
