Which of the following statements is true?

We use sample statistics to estimate population parameters.

A 90% confidence interval for p is found to be (0.7,0.8). This means that

90% of random samples have CIs which contain p

A sampling distribution can best be described as a distribution which

describes how a statistic’s value will change b/w samples

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Sampling and Estimation

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A quiz to test understanding of #statistical #sampling including #populationparameters #confidenceintervals #randomsampling #sampleproportions #year12

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Questions 14

Answers

1
Which of the following statements is true?
The bigger the margin of error, the smaller the CI
None of these
The confidence interval is a type of point estimate
The centre of a CI is a population parameter
2
4 golfers in a sample of 50 play lefthanded. What is the 95% CI?
(0.006,0.154)
(0.026,0.134)
(0.053,0.107)
(0.005,0.155)
3
In the previous question, what is a way to decrease the width of the CI?
use a higher confidence level
use a smaller confidence level
increase the sample size
both A and B are correct
4
A census of an entire population finds that 59% of families have <2 children. 59% is the
Sample statistic
Sample
Sample parameter
Population parameter
5
Which of the following statements is true?
We use population parameters to estimate sample statistics.
We use sample parameters to estimate population statistics.
We use sample statistics to estimate population parameters.
We use population statistics to estimate sample parameters.
6
If the sample proportion is constant, increasing the level of confidence makes the CI
Narrower
Wider
Unchanged
Asymmetric
7
If a researcher increases her sample size by a factor of 4, the width of the 95% CI would
Increase by a factor of 2
Increase by a factor of 4
Decrease by a factor of 2
Decrease by a factor of 4
8
About 25% of teachers will quit within 2 yrs. What size sample for M=3% on a 95% CI?
33
752
800
534
9
15 of 50 footy fans go to >1 game per season. What is the margin of error for a 95% CI?
0.127
0.065
0.004
0.254
10
You want to estimate the ratio of boys to girls at a school. The ratio in a single class is the
Sample parameter
Sample
Sample statistic
Population parameter
11
A 90% confidence interval for p is found to be (0.7,0.8). This means that
The probability that p falls within (0.7,0.8) is 0.1.
The probability that p falls within (0.7,0.8) is 0.9.
90% of random samples have CIs which contain p
The population proportion p = 0.75
12
14 people in a sample of 88 prefer to watch news on a certain channel. What is the 90% CI?
(0.083,0.197)
(0.085,0.233)
(0.083,0.236)
(0.095,0.223)
13
78% of a sample of 100 students intend to go to uni. What is the 95% CI?
68.2% to 87.8%
68.5% to 87.5%
69.9% to 86.1%
71.2% to 84.8%
14
A sampling distribution can best be described as a distribution which
gives the possible range of values of the sample statistic
describes how a statistic’s value will change b/w samples
gives the distr. of the values observed in particular sample
describes how samples do not give reliable estimates

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