A random sample of size results in a sample mean of and a sample standard deviation of . An independent sample of size results i
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Answer: (0.1658, 0.2742)
Step-by-step explanation:
Formula to find the confidence interval for population proportion is given by :-
, where n= sample size
z*= Critical value
= sample proportion.
As per given , we have
Significance level :
According to z-table, Critical value for 99% confidence interval : z*=2.576
Let p be the proportion of people in the country that have red hair.
n= 388
Now, required confidence interval for proportion of people in the country that have red hair will be :-
The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)