New Zealand
Level 8 - NCEA Level 3

# Populations and Simple Random Samples

## Interactive practice questions

The Skin Cancer Council wants to survey the population to approximate the average amount of time someone spends in the sun each day.

Which of the following methods could minimise completion bias in the survey responses?

Requiring responders to note the exact times of the day that they spend in the sun.

A

Calling people during standard work hours.

B

Making sure the survey questions are comprehensive by having many questions.

C

Having one short question where responders select from given ranges of values for the number of hours they spend in the sun.

D

Requiring responders to note the exact times of the day that they spend in the sun.

A

Calling people during standard work hours.

B

Making sure the survey questions are comprehensive by having many questions.

C

Having one short question where responders select from given ranges of values for the number of hours they spend in the sun.

D
Easy
Less than a minute

To determine which political party is most likely to win in an upcoming election, a sample of $500$500 people is to be chosen and asked who they will vote for.

Which of the following sampling techniques does not result in selection bias?

Some students want to conduct an interview to find out the amount of time students spend doing homework each week. They brainstorm methods on how to collect a random sample of students for the interview.

A research organisation wants to determine tourists' impressions of Australia. They create a survey consisting of several questions.

Which of the following questions encourages bias?

### Outcomes

#### S8-2

Make inferences from surveys and experiments: A determining estimates and confidence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem B using methods such as resampling or randomisation to assess

#### 91582

Use statistical methods to make a formal inference