1. In a specific, mid-size, warm-weathered city in southern California, there are 2 million homes.As part of an environmental status survey, it was desired to estimate the proportion of homes in this city which contain lead based paints. A simple random sample of 165 households revealed that 44 homes had lead based paints in at least one room. What is the sample proportion?

Give your answer to 3 decimal places. For help on how to input a numeric answer, please see "

2. The CEO of a large corporation asked her head HR representative to takea random sample of 94 employees. From his sample, he finds that the proportion of their employees that have children is 0.81. What is the standard error of the proportion in this situation?

Give your answer to 3 decimal places.

3.In which of the following scenarios would it be appropriate to use a normal distribution to construct a 95% confidence interval for the parameter of interest?

Select all that apply.

Select one or more:

a. A state safety official wants to estimate the proportion of licensed cars in NC that have worn tires. Using the state car registration records, he randomly selects 100 cars. He inspects each car and finds that 12% of them have worn tires.

b. A state congressman wants to know the proportion of NC voters who support higher taxes to pay for state parks. He randomly selects five parks and talked with people at the parks. Of 200 voters found in the parks, 183 supported higher taxes to pay for state parks.

c. A police officer wants to know the proportion of licensed drivers who have had a speeding ticket within the last five years. He randomly selects 30 drivers from a database of all licensed drivers, and checks their records. He finds that 30% of the people had speeding tickets within the last five years.

d. A politician wants to know the proportion of registered women voters that are registered with the Democratic Party. He looks at voter registration, randomly selects 100 women, and sees that 56% of women are registered with the Democratic Party.