How do we draw it exactly
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
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Answer:</u></h3>
Option: D
Horizontal stretching.
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Step-by-step explanation:</u></h3>
We have to find the effect on the graph of the function f(x)=2x when it is replaced by f(0.5 x).
We know that when a parent function f(x) is replaced by f(kx) then either the graph is stretched horizontally or shrinked horizontally.
if k>1 then the graph is shrinked horizontally.
if k<1 then the graph is stretched horizontally.
Hence here k=0.5<1 so the graph of the function is stretched horizontally.
Addition and Subtraction in Scientific Notation. A number written in scientific notation is written as the product of a number between 1 and 10 and a number that is a power of 10. That is, it is written as a quantity whose coefficient is between 1 and 10 and whose base is 10.
Answer:
Mia's test score is 44 if she got 3 questions wrong.
Mia's test score is (50-2x) if she got x questions wrong.
Step-by-step explanation:
It is given that, Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points.
If she got 3 questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks
So, Mia's test score is 44 if she got 3 questions wrong.
If she got x questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks
So, Mia's test score is (50-2x) if she got x questions wrong.
