1. A National Realtor organization reported that 31.4% of homes purchased in 2017 were investment properties. Describe the sampling distribution if 45 properties purchased in 2017 were randomly sampled. In your calculations use your standard error rounded to 3 decimal places. Describe the sampling distribution of p^. 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. Find P(p>0.35)=

Find P(p<0.23)=

2. In a recent year, 20.3% of days in Salt Lake City had precipitation. A meteorologist took a random sample of 56 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 0.23. Find P(p>0.23)=

b) Find the probability that the sample proportion of days with precipitation is less than 0.2. Find P(p<0.2)=

c) Find the probability that the sample proportion of days with precipitation is between 0.17 and 0.21. Find P(0.17

3. When taking a certain drug 8.8% experience nausea as a side effect. A scientist took a random sample of 1090 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. Find P(p0.09)=

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

c) Find the probability that the sample proportion of patients who experience a nausea side-effect is between 0.05 and 0.1. Find P(0.05