21 Hypothesis Testing

Question 1

Null Hypothesis (H0)?

Answer 1

No difference / effect from the normal curve

Question 2

Alternate Hypothesis (Ha)?

Answer 2

Statistical difference between the data and the normal curve/distribution

Question 3

Type I
Error?

Answer 3

H0 rejected while true

Question 4

Type II
Error?

Answer 4

H0 accepted while false

Question 5

Hypothesis Tests for
continuous normal (aka symmetric & mean) data?

5 matters

Answer 5

• 1-Sample T Test
• Paired T Test
• 1-Sample Z Test
• Chi Square Test (aka 1-Variance Test)
• 2-Sample Test

Question 6

1-Sample T Test
is used for?

2 matters

Answer 6

• Mean of a sample to a target mean
• Smaller samples or stand dev known

Question 7

Paired T Test
is used when?

3 matters

Answer 7

• Mean of a sample as baseline to the mean of another sample after doing some changes for the same factor of x
• 2 levels of interest for x (the input)
• 2 sets of data regarding the input and you’re comparing those 2 sets

Question 8

1-Sample Z Test
compares what?

2 matters

Answer 8

• Means between 2 samples of different populations
• Larger samples or unknown stand dev

Question 9

Chi Square Test
(aka 1-Variance Test)
compares what?

2 matters

Answer 9

The (one) standard dev or variance between 2 samples of the same population (eg before & after)
OR
The standard dev or variance to a target or hypothesized statistic

Question 10

2-Sample T Test
is used for?

Answer 10

Comparing means between 2 samples from different populations/x factors

Question 11

1-sample T test
vs
2-sample T test?

Answer 11

1-sample T = 1 sample from 1 population (eg before & after)
vs
2-sample T = 2 samples from 2 different populations

Question 12

Hypothesis Tests for
discrete (aka attribute) data?

2 matters

Answer 12

• 1-Proportion Test
• 2-Proportion Test

Question 13

1-Proportion Test
compares what?

3 matters

Answer 13

• Proportions between sample and a target
• 1 level of interest for x (the input)
• 1 set of data (the sample) and a target

Question 14

2-Proportion Test
compares what?

3 matters

Answer 14

• Proportions between sample and a target
• 2 levels of interest for x (the input)
• 2 sets of data regarding the input and you’re comparing those 2 sets

Question 15

Hypothesis Tests
continuous non-normal (aka skewed & median) data?

3 items

Answer 15

• One Sample Wilcox
• Mann-Whitney Test
• Chi-Square Test

Question 16

One Sample Wilcox
is used when?

Answer 16

Medians between a sample and a hypothesized sample / new sample to a previous sample before changes were made

Question 17

Mann-Whitney Test
is used when?

Answer 17

Medians between samples of two factors of x