To find the standard error of a proportion, we can use the formula:
SE = sqrt(p * (1-p) / n)
where p is the sample proportion (21/32) and n is the sample size (32).
SE = sqrt((21/32) * (1-(21/32)) / 32)
SE = sqrt((21/32) * (11/32) / 32)
SE = sqrt(231/1024)
SE = sqrt(0.2255859)
SE ≈ 0.4756
Therefore, none of the given options are correct. The closest to the correct value is option D, 0.045, but the correct value is approximately 0.4756.
Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite subject. In this year's class, however, only 21 out of 32 students named math as their favorite class. The instructor decides to construct a confidence interval for the true population proportion based on the sample value. What's the correct value for the standard error of p in this case?
Α. .057
B. .088
C. .084
D. 045
Ε. .064
1 answer
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