mtehts

Question 1

Critical Region

Answer 1

A critical region is the range of values of the test statistic that would lead us to reject 𝐻0.

Question 2

How will a distribution change when the intervals change?

Answer 2

We don’t know the distribution of the test statistic within the interval.

Question 3

Type I Error

Answer 3

Concluding that there is evidence for rejecting the null hypothesis, when in reality the null hypothesis is true.

Significance level.

Question 4

Type II Error

Answer 4

Concluding that there is evidence to not reject the null hypothesis, when in reality the null hypothesis is false.

1 - Binomial with true probability value.

Question 5

Sampling Types

Answer 5

Systematic Sampling
Selecting sampling units from a population at a fixed periodic interval.
- Bias-free
- Requires a sampling frame
- May lead to inaccuracies if population size is unknown

Simple Random Sampling
Selecting sampling units randomly, each unit has an equal chance of being selected.
- Bias-free
- Requires a sampling frame
- Is unspecific; can be used on any dataset with no other steps or special knowledge required.

Opportunity Sampling
Selecting sampling units based on what is accessible and convenient at the time and place the investigation is taking place.
- Very simple to carry out, inexpensive
- Subject to selection bias will make results not accurate

Question 6

Sampling Frame

Answer 6

Indexed list of all sampling units in a population that is being tested.

Question 7

Significance Level

Answer 7

The threshold value between the acceptance and critical regions (p-value of test statistic less than or equal to the significance level leads to the conclusion that there is evidence for rejecting the null hypothesis)