Answer:
B
Step-by-step explanation:
- A 95% confidence level interval will have 0.52 (lower interval) & 0.68 (upper interval) which means that that if 90 individuals root for North HS then p value is 0.6 which will fall in the 95% confidence interval range.
- For the option B the p value will also be same as in case A hence B is true as an alternative hypothesis.
- We can calculate P value
Confidence Interval = p ± z
Answer:
The unit rate is 32/25 Walls per gallons.
Step-by-step explanation:
Gallons of paint used by Martin = 5/8 gallons
Portion of wall Martin wants to paint in pints = 4/5 wall.
Rate at which Martin paints the wall: Rate = Portion of wall covered/Paints Used.
Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.
Answer:
D or the 4th answer choice.
Step-by-step explanation:
Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.
Answer: -6.26
Step-by-step explanation:
Test statistic for population proportion is given by :-
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
, where p = population proportion.
= sample proportion.
n= sample size.
As per given , we have
![H_a:p](https://tex.z-dn.net/?f=H_a%3Ap%3C0.93)
n= 1021
Then, the test statistic will be :-
![z=\dfrac{0.88-0.93}{\sqrt{\dfrac{0.93(1-0.93)}{1021}}}\\\\=\dfrac{-0.05}{\sqrt{0.0000637610186092}}\\\\=\dfrac{-0.05}{0.0079850496936}\\\\=-6.26170179506\approx-6.26](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.88-0.93%7D%7B%5Csqrt%7B%5Cdfrac%7B0.93%281-0.93%29%7D%7B1021%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-0.05%7D%7B%5Csqrt%7B0.0000637610186092%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-0.05%7D%7B0.0079850496936%7D%5C%5C%5C%5C%3D-6.26170179506%5Capprox-6.26)
Hence, the value of the test statistic is -6.26 .
10 • 6 = 60
10 + 10 + 10 + 10 + 10 + 10
\ / \ / \ /
20 + 20 + 20
\ / |
40 + 20 = 60