Of the 13 people who have taken their seats at a seminar, 5 have red hair. What is the experimental probability that the next pe
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The question is related to trigonometric ratio rule .
In the given diagram, there is a right angle triangle, with adjacent =57, and the unknown side is y. Given angle measurement is 39 .
To find the measurement of y, we will use tan rule which is
y = 57 tan 39 = 46.2
Answer:
Step-by-step explanation:
Given that:
the sample proportion p = 0.39
sample size = 100
Then np = 39
Using normal approximation
The sampling distribution from the sample proportion is approximately normal.
Thus, mean
The standard deviation;
The test statistics can be computed as:
From the z - tables;
(b)
Here;
the sample proportion = 0.39
the sample size n = 400
Since np = 400 * 0.39 = 156
Thus, using normal approximation.
From the sample proportion, the sampling distribution is approximate to the mean
the standard deviation
The test statistics can be computed as:
From the z - tables;
(c) The effect of the sample size on the sampling distribution is that:
As sample size builds up, the standard deviation of the sampling distribution decreases.
In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.