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2 answers:
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Answer:
b. It will decrease by a factor of 2
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The lower end of the interval is given by:
The upper end of the interval is given by:
The length of the interval is the subtraction of the upper end by the lower end, so it is:
This means that the length is inverse proportional to the square root of the size of the sample.
So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.
<h2>Hello!</h2>
The answer is: 50% (0.5)
<h2>Why?</h2>Exponential growth equations are use to predict the growth (in function of time) using proportional information.
We can calculate the exponential growth using the following formula:
Where,
S, is the starting value
r, is the growth rate
t, is the time
So, we are given the function:
Where,
f(t), is the function,
3, is the starting value (lb)
0.5 (50%) is the growth rate
nt, is the time elapsed.
Hence,
From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.
We can turn the growth rate given in real numbers to percent value by multiplying by 100
So, the growth rate is 50%.
Have a nice day!