Maurice has completed 72 pages of the research paper he is writing. That is 90% of the required length of the paper. What is the
2 answers:
Answer:
80
Step-by-step explanation:
When we first look at this, it generally says "90% of what number is 72?" so that's what we can do.
We can change 90% into a decimal, and put in x, which is what our answer will be!
We can multiply both sides of this equation by 100, and then divide by 90. After all of this, we have
, which is 80.
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Answer:
And rounded up we have that n=421
Step-by-step explanation:
We know that the sample proportion have the following distribution:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume that a prior estimation for p would be since we don't have any other info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=421