Which symbol makes the statement true
2 answers:
Answer:
> -0.23
Step-by-step explanation:
We are given the below mentioned question in the picture:
We have to compare the value of .
We have to fill in appropriate sign.
In order to do so first, we evaluate the value of given fraction .
It's value is -0.22222222.
If we compare both the value, then, -0.22222222 is always greater than -0.23.
Thus, the appropriate sign to fill the given blank is > as,
-0.22222222 > -0.23
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The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:
Calculate the standard deviation:
Within ± 0.02 of the population proportion are:
Calculate the z-scores at these points using:
So, we have:
The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
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