Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
When looking at a rectangular prism, we know that Volume = length * width * height
If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.
280 = 8 * 7 * height
280 = 56 * height
Because we are solving for the height, we divide both sides by 56
280/56 = height
height = 5 meters
12 1/2 is 12.50 as a mixed number
i will use proportions for this.
x 52
------- = --------
2650 100
Cross multiply and u get 1378.
Hope it helps. :)
