## Answers

**Solution:**

**a-1:** Calculate the standard error for the sampling distribution of the sample proportion.

**Answer:** The standard error is:

a-2: Is the sampling distribution of the sample proportion approximately normal?

**Answer: Yes**

b. What is the probability that the sample proportion is less than 0.80?

**Answer: The probability that the sample proportion is less than 0.80 is:**

** **

**Now using the standard normal table, we have:**

**Therefore, the probability that the sample proportion is less than 0.80 is 0.3015 **

c. What is the probability that the sample proportion is within of the population proportion?

**Answer:**

**Now using the standard normal table we have:**

**Therefore, the probability that the sample proportion is within of the population proportion is 0.3970**

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