67 2/3% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
1 answer:
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Answer:
So the answer for this case would be n=22547 rounded up to the nearest integer
Step-by-step explanation:
Let's define some notation
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
represent the margin of error desire
The margin of error is given by this formula:
(a)
And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be and the critical value
, replacing into formula (b) we got:
So the answer for this case would be n=22547 rounded up to the nearest integer