A market researcher selected 200 people at random from a group of people whoindicated that they liked a certain book. The 200 people were shown a moviebased on the book and then asked whether they liked or disliked the movie. Ofthose surveyed, 95% said they disliked the movie. Which of the followinginferences can appropriately be drawn from this survey result?

A) At least 95% of people who go see movies will dislike this movie.

B) At least 95% of people who read books will dislike this movie.

C) Most people who like this book will dislike this movie.

D) Most people who dislike this book will like this movie.

There are 55 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 20% responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?

A) 55

B) 44

C) 20

D) 11

A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?
1. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
2. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
3. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

A) II only

B) None

C) I and II only

D) I and III only

From a population of 50,000 people, 1000 were chosen at random and surveyed about a proposed piece of legislation.
Based on the survey, it is estimated that 35% of people in the population support the legislation, with an associated margin of error of 3%. Based on these results, which of the following is a plausible value for the total number of people in the population who support the proposed legislation?

A) 16,750

B) 31,750

C) 350

D) 650

A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?

A) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.

B) Approximately 30% of all fish in the pond weigh more than 2 pounds.

C) The average weight of all fish in the pond is approximately 2 pounds.

D) The majority of all fish in the pond weigh less than 2 pounds.

A park ranger asked a random sample of visitors how far they hiked during their visit. Based on the responses, the estimated mean was found to be 4.5 miles, with an associated margin of error of 0.5 miles. Which of the following is the best conclusion from these data?

A) It is not possible that any visitor hiked less than 3 miles.

B) It is plausible that the mean distance hiked for all visitors is between 4 and 5 miles.

C) It is likely that most visitors hiked exactly 4.5 miles.

D) It is likely that all visitors hiked between 4 and 5 miles.

A store manager reviewed the receipts from 80 customers who were selected at random from all the customers who made purchases last Thursday. Of those selected, 20 receipts showed that the customer had purchased fruit. If 1,500 customers made purchases last Thursday, which of the following is the most appropriate conclusion?

A) The best estimate for the number of customers who purchased fruit last Thursday is 75.

B) The best estimate for the number of customers who purchased fruit last Thursday is 375.

C) Exactly 375 customers must have purchased fruit last Thursday.

D) Exactly 75 customers must have purchased fruit last Thursday.

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is, with an associated margin of error of. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

A) The proportion is exactly.

B) It is plausible that the proportion is less than.

C) It is plausible that the proportion is between and.

D) It is plausible that the proportion is greater than.

Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is , with an associated margin of error of. Which of the following is the most appropriate conclusion?

A) The mean value of the variable for the population is.

B) Every value of the variable in the population is between and.

C) It is plausible that the actual mean value of the variable for the population is between and.

D) It is not possible that the mean value of the variable for the population is less than or greater than.

A sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?

A) All fourth-grade students in the county in which the school is located.

B) All students at the school.

C) The 40 students who were surveyed.

D) All fourth-grade students at the school.