When is a Type II error committed?

We reject a null hypothesis that is false.

When is a Type I error committed?

We reject a null hypothesis that is true.

Which of the following would be an appropriate null hypothesis?

The mean of a population is equal to 75.

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Activity 1

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Answers

1
Which of the following describes an alternative hypothesis in a left-tailed test?
H𝑎 ≠ 100
H𝑎 = 100
H𝑎 > 100
H𝑎 < 100
2
Which of these is a correct alternative hypothesis for a two‐tailed test?
𝐻𝑎: µ > 7
𝐻𝑎: µ = 7
𝐻𝑎: µ < 7
𝐻𝑎: µ ≠ 7
3
When is a Type II error committed?
We fail to reject a null hypothesis that is true.
We reject a null hypothesis that is false.
We reject a null hypothesis that is true.
We fail to reject a null hypothesis that is false.
4
The sign of the alternative hypothesis in a left-tailed test is always ________
greater than
Equal
not equal
less than
5
Which of the following is a Type I error?
H0 is true; reject H0.
H0 is true; fail to reject H0.
H0 is false; fail to reject H0.
H0 is false; reject H0.
6
When is a Type I error committed?
We fail to reject a null hypothesis that is false
We reject a null hypothesis that is true.
We fail to reject a null hypothesis that is true.
We reject a null hypothesis that is false.
7
Which of the following would be an appropriate null hypothesis?
The mean of a sample is not equal to 75.
The mean of a population is greater than 75
The mean of a sample is equal to 75.
The mean of a population is equal to 75.
8
Which of the following must be used as the level of significance if we want a higher possibility of correct decision?
1%
10%
5%
20%
9
It is a proposed explanation or assumption about a population parameter or about the distribution of a random variable.
Probability
Hypothesis
Decision
Statistics
10
Which of the following would be an appropriate alternative hypothesis for one-tailed test?
𝐻𝑎 = 100
𝐻𝑎 ≥ 100
𝐻𝑎 < 100
𝐻𝑎 ≤ 100

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