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Margin of error = 5%
Confidence level = 100-5= 95%
Population size, N = 250
Since here we don't know the population proportion so, p= 0.5 is assumed.
Now we find Z at 95% confidence level using the normal distribution table and that is
Z= 1.96 at 95% confidence level
5. The formula for sample size:
6. In the population , the number of orientals = 250-182-51=17
The proportion of orientals
Substituting this value of p in the above formula we get the number of orientals in the sample size of 152.
7. Number of whites in the population = 182
Proportion of whites
On substituting this value of p in the above formula we get the number of whites in the sample.