Economy worries. During the week of April 15, 2013, a Gallup Poll requested 1500 U.S. adults, aged 18 or over, how they rated economic conditions. Only $17 \%$ rated the economy as Excellent/Good. Make a $95 \%$ confidence interval for the true proportion of Americans who rated the U.S. economy as Excellent/Good.

A Gallup Poll in March 2013 (www.gallup.com/poll/110821/gallup-daily-us -economic-conditions.aspx) requested 1500 U.S. adults to rate economic conditions in the country today as "excellent," "good," "only fair," or "poor." The results are below:

If we choose a person at random from this sample of 1500 adults:

a) What is the chance that the person responded "Poor"?

A Gallup poll asked a random sample of 1785 adults if they attended church during the past week. Let $\hat{p}$ be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. Justify that the sampling distribution of $\hat{p}$ is approximately normal.

Write the negation of each quantified statement. Start each negation with “Some,” “No,” or “All.” Every dessert at the Cove restaurant is good.

A box contains 2 red, 3 white, and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same color?

A box contains 2 red, 3 white, and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that no white balls are drawn?

Information on a packet of seeds claims that the germination rate is 92%. What 's the probability that more than 95% of the 160 seeds in the packet will germinate? Be sure to discuss your assumptions and check the conditions that support your model.

A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If the committee must consist of at least 3 women and at least 2 men, how many different committees are possible?

A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. Determine the number of different ways of selecting the committee.

Choose an American household at random and let the random variable X be the number of persons living in the household. If we ignore the few households with more than seven inhabitants, the probability distribution of X is as follows:

What is $P(X>5)$ ?

A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 12 white chocolates. Sophie randomly selects a chocolate, eats it, and randomly selects another chocolate. Find each probability. P(white and dark)

A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 12 white chocolates. Sophie randomly selects a chocolate, eats it, and randomly selects another chocolate. Find each probability. P(milk and dark)

From a survey of 250 coworkers, you find that 155 would like the company to provide on-site daycare.

c) Create an approximate $95 \%$ confidence interval for the true proportion $p$ by taking $\pm 2$ SEs from the sample proportion.

From a survey of 250 coworkers, you find that 155 would like the company to provide on-site daycare.

b) Find the standard error of the sample proportion.