1.A National Realtor organization reported that 30.3% of homes purchased in 2017 were investment properties. Describe the sampling distribution if 48 properties purchased in 2017 were randomly sampled. In your calculations use your standard error rounded to 3 decimal places. Describe the sampling distribution ofp

Center:mean= (Write answer as a decimal.)

Spread:SEp= (Round to 3 decimal places)

Assume the sampling distribution satisfies criteria and is approximately normal. Round to 4 decimal places

FindP(p>0.35) =

FindP(p<0.23) =

2. In a recent year, 25.2% of days in Salt Lake City had precipitation. A meteorologist took a random sample of 61 days that year and found the sample proportion of days that had precipitation,p. Assume the sampling distribution satisfies criteria and is approximately normal. Round to 4 decimal places. In your calculations use your standard error rounded to 3 decimal places. a) Find the probability that the sample proportion of days with precipitation is at least 0.29. FindP(p>0.29) =

b) Find the probability that the sample proportion of days with precipitation is less than 0.18. FindP(p<0.18) =

c) Find the probability that the sample proportion of days with precipitation is between 0.16 and 0.23. FindP(0.16

3. When taking a certain drug 7% experience nausea as a side effect. A scientist took a random sample of 1660 individuals who were taking the drug and recorded the sample proportion who experienced nausea as a side effect,p. Assume the sampling distribution satisfies criteria and is approximately normal. Round to 4 decimal places. In your calculations use your standard error rounded to 3 decimal places. a) Find the probability that the sample proportion of patients who experience a nausea side-effect at least 0.09. FindP(p0.09) =

b) Find the probability that the sample proportion of patients who experience a nausea side-effect is less than 0.06. FindP(p<0.06) =

c) Find the probability that the sample proportion of patients who experience a nausea side-effect is between 0.04 and 0.11. FindP(0.04