Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning A survey of 2209 adu
1 answer:
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Answer:
EA, EB, EC and ED are opposites rays.
Step-by-step explanation:
Given that,
Line AB and line CD intersect at point E.
According to figure,
We need to find opposite rays
Using diagram
We draw a first line AB and second line CD which is intersect of AB at point E.
Now, EA and EB is called opposite ray of first line AB.
Similarly,
EC and ED is called opposite ray of first line CD.
Hence, EA, EB, EC and ED are opposites rays.
Answer:
The 90% confidence interval for the difference of proportions is (0.01775,0.18225).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
p1 -> 1993
20 out of 100, so:
p2 -> 1997
10 out of 100, so:
Distribution of p1 – p2:
Confidence interval:
In which
z is the z-score that has a p-value of .
90% confidence level
So , z is the value of Z that has a p-value of
, so
.
The lower bound of the interval is:
The upper bound of the interval is:
The 90% confidence interval for the difference of proportions is (0.01775,0.18225).