Answer
n = 40, p = 0.11, q = 1-0.11 = 0.89
np = (40)(0.11)=4.4, nq = (40)(0.89)=35.6
The sample size is not large enough to use the normal distribution to make a test of hypothesis about the population proportion, because np is less than 5.
b.n = 100, p = 0.73, q = 1-0.73 = 0.27
np = (100)(0.73)=73, nq = (100)(0.27)=27
The sample size is large enough to use the normal distribution to make a test of hypothesis about the population proportion, because np and nq is greater than 5.
c.n = 80, p = 0.05, q = 1-0.05 = 0.95
The sample size is large enough to use the normal distribution to make a test of hypothesis about the population proportion, because np and nq is greater than 5.
np = (80)(0.05)=4, nq = (80)(0.95)=76
The sample size is not large enough to use the normal distribution to make a test of hypothesis about the population proportion, because np is less than 5.
d.n = 50, p = 0.14, q = 1-0.14 = 0.86
np = (50)(0.14)=7, nq = (50)(0.86)=43
The sample size is large enough to use the normal distribution to make a test of hypothesis about the population proportion, because np and nq is greater than 5.
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