betty wants to install new carpet in her room the room is 15ft and the width 15ft. if the cost of the carpet is £8per square foo
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Answer:
And rounded up we have that n=385
Step-by-step explanation:
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 95% 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)
The estimated proportion for this case is . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385