Predicting from Random Samples

According to a random telephone survey, 85% of all working adults in the U.S. are satisfied with their current job. If I asked 500 adults, how many do you predict would be satisfied with their current job?

• 85 adults

• 340 adults

• 500 adults

• 425 adults

Q1. How many red shirts do you have?

• A) 5 red shirts

• B) 17 red shirts

• C) 40 red shirts

• D) 83 red shirts

There are 400 students at Polly's school. She surveyed a random sample of 80 students to find their favorite hobby. 19 said they like to read. 30 said they like to be with friends. 8 said they like to do crafts. 23 said they like to play sports. Polly infers that doing crafts is the least popular hobby at her school. Refer to the data table. Polly surveys two more samples. Do the results from these samples support the inference made from the first sample?

• Yes, the survey results support the inference that doing crafts is the least popular hobby at Polly's school.

• No, the survey results does not support the inference that doing crafts is the least popular hobby at Polly's school.

Litzy collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. Of the 200 7th graders attending Litzy's school, how many would be expected to attend afterschool programs?

• 14 7th graders

• 28 7th graders

• 35 7th graders

• 42 7th graders

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart above shows the number of students from the random sample who chose each candidate. A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?

• Rasheed will win with 192 votes.

• Rasheed will win with 189 more votes than he had in the survey

• Janelle will win with 8 more votes than the second-place finisher, Rasheed.

• Janelle will win with 128 more votes than the second-place finisher, Rasheed

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart above shows the number of students from the random sample who chose each candidate. A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?

• Rasheed will win with 192 votes.

• Rasheed will win with 189 more votes than he had in the survey

• Janelle will win with 8 more votes than the second-place finisher, Rasheed.

• Janelle will win with 128 more votes than the second-place finisher, Rasheed

A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?

• Twenty-four percent of those sampled say they like mountain vacations best.

• An estimated 720 club members would likely say they enjoy mountain vacations best.

• Almost one-quarter of club members would likely say they enjoy mountain vacations best.

• More than 2,500 club members would likely say they prefer other vacations over mountain vacations.

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart above shows the number of students from the random sample who chose each candidate. A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?

• Rasheed will win with 192 votes.

• Rasheed will win with 189 more votes than he had in the survey

• Janelle will win with 8 more votes than the second-place finisher, Rasheed.

• Janelle will win with 128 more votes than the second-place finisher, Rasheed

The table shows the results of a survey of 200 people attending a hockey game.
The attendance for the hockey game is about 25,000 visitors each game.  Based on the table, how many people out of 25,000 could be expected to buy a pennant?

• 1,375

• 1,650

• 2,750

• 3,850

A random sample of 50 was taken from a shipment of 12,000 light bulbs. There were 2 broken bulbs in the sample. How many broken bulbs would you expect in the entire shipment?

• 240

• 480

• 2,400

• 4,800