According to a poll of adults about 41% work during their summervacation. Suppose that this claim about the population proportionis true. Now if we take a sample of 75 adults, and find the sampleproportion [^(p)] of adults who work during summervacation.
What is the expected value of sample proportion[^(p)]?
What is the standard deviation of sample proportion[^(p)]?
The shape of the sampling distribution of sample proportion[^(p)] will be roughly like a
normal distribution
uniform distribution
Poisson distribution
student's t distribution
binomial distribution
P(0.30 ≤ [^(p)] ≤ 0.47) =
Is the sample large enough to compute the aboveprobability?
Yes, because np ≥ 10 and n(1−p) ≥10.
No, the sample size is not sufficiently large. We actually had toassume normally distributed population.
Yes, because n ≥ 30
Yes, because np ≥ 10.
Yes, because the number of successes and failures are both largerthan 10.
Find c such that P([^(p)] ≥c) = 0.7
