Making Inferences from Samples About Populations

Use information about each random sample to make an inference about the population. A zoologist studies a population of 800 rabbits. He tags 160 rabbits at random, of which 37 have blue eyes. Based on this data, about how many rabbits in the population have blue eyes?

• 185

• 200

• 165

• 160

Use information about each random sample to make an inference about the population. Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?

• 31

• 32

• 33

• 34

Use information about each random sample to make an inference about the population. Taylor produces graphic T-shirts that come in three different colors. He randomly surveys 100 people, asking which one of the three colors they prefer. Of the 100 people surveyed, 55 say that they prefer the white T-shirt. If Taylor is going to produce 500 graphic T-shirts, about how many should be white?

• 250

• 275

• 300

• 325

Use information about each random sample to make an inference about the population. A sociologist is doing a study on journalists. He attends a journalism conference, where he randomly surveys 390 journalists about the kind of automobile they own. Of these journalists, 137 say that they own a compact car. There are about 1,700 journalists at the conference. About what percent of these journalists own a compact car?

• 20%

• 25%

• 30%

• 35%

A dentist asks a random sample of 75 patients whether they prefer mint, bubblegum, or cinnamon flavor toothpaste. Of these patients, 8 say that they prefer bubblegum. Based on the results of this sample, about how many of the dentist’s 1,500 active patients prefer bubblegum flavor toothpaste?

• 160

• 150

• 120

• 180

In a survey of 653 randomly chosen workers from a manufacturing plant, 68 said that they prefer to work the night shift. The manufacturing plant employs a total of 2,700 workers. Based on this information, about how many plant workers prefer the night shift?

• 280

• 270

• 260

• 250

A music streaming service surveys a random sample of 254 of its members about their favorite genre of music. Of the members surveyed, 107 say that techno is their favorite. The service has 734 members. Based on this information, what is the most reasonable estimate of members whose favorite type of music is techno?

• 310

• 320

• 330

• 340

At Lake Clay, marine biologists catch, tag, and release 50 smallmouth bass. Over the next few days, they catch 175 smallmouth bass, of which 7 have the original tags. What is the estimated population of smallmouth bass in Lake Clay?

• 1250

• 1000

• 875

• 750

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

Tags

CCSS.7.RP.A.3

A recent survey of 800 seventh graders from across the state shows 4 out of 10 like to play paper football. How many students said they like to play paper football?

• 40 students
• 200 students 
• 320 students
• 8,000 students

Tags

CCSS.7.RP.A.3