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Answer:
a) In the explanation.
b) P=0.09714
c) P=0.0866
d) p=0.208
Step-by-step explanation:
a) The sampling distribution will have this properties:
1 - The sampling distribution of a proportion is equal to the binomial distribution.
2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).
3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.
B) The fraction with sample proportion of 0.45 or higher is
C) The fraction with sample proportion of 0.20 or lower is
D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.
Then we have