Question: Please show steps on how to solve: 64 high school boys is taken to determine what proportion watches at least an hour of cartoons on
Please show steps on how to solve:
64 high school boys is taken to determine what proportion watches at least an hour of cartoons on television each week. If 50% of the sample watch an hour of cartoons, what is the confidence interval at the 95% confidence level for the true percentage of high school boys who watch at least one hour of cartoons?
Let p = The true proportion of the population you are trying to determine. Set p equal to your point of estimate (xpbar) and find the confidence interval around it.
The Standard Error of the Proportion, p = p (1 - p) / n= p (1 - p) / n
Z Transformation for comparing sample proportion(xpbar) to population proportion(p):
Z = (xpbar - p) / pso by extension Z = (xpbar - p) n / p (1 - p)
a).40 p .60
b).45 p .55
c).39 p .61
d).43 p .57
e).38 p .62
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