Z-TEST Flashcards
______ testing is the process of making an inference or a generalization on a population based on the results of the study on samples.
Hypothesis
______ hypothesis testing
A guess or prediction made by a researcher regarding the possible outcome of the study.
Statistical
Two types of statistical hypothesis
Null (H0) and Alternative (Ha)
The hypothesis to be tested which one hopes to reject. It shows equality or no significant difference or relationship between variables.
Null Hypothesis (H0)
The idea which the researcher wants to prove.
Alternative Hypothesis (Ha)
One-tailed test (___ directional)
The region of rejection is on the ____, used when Ha uses comparatives such as greater than, higher than, better than, superior to, exceeds, etc.
right tail
Types of hypothesis testing
- One-tailed (Right directional)
- One-tailed test (Left directional test)
- Two-tailed test ( __ directional test)
Non-directional
One-tailed test (Left directional)
The region of ____ is on the left tail, used when Ha uses comparatives such as less than, smaller than, inferior to, lower than, below, etc.
rejection
One-tailed test (Left directional)
The region of rejection is on the left tail, used when Ha uses comparatives such as less than, smaller than, inferior to, lower than, below, etc.
True
Two-tailed test
Used when Ha uses words such as not ____ to, significantly different, etc.
equal
_____ errors in hypothesis testing
- Type I
- Type II
Statistical
Type I error
The error is committed when the null hypothesis is rejected when in fact it is true and the alternative hypothesis is ___.
false
Type II error
Error committed when the ____ is accepted when in fact it is false and the alternative hypothesis is true.
null hypothesis
___ (α)
Probability of committing a Type I error
Alpha
Statistical hypothesis testing
A guess or prediction made by a researcher regarding the possible outcome of the study.
Beta (β)
Probability of committing a Type II error
True
The most popular levels of significance of alpha (α) are the 0.01 and 0.05 levels.
True
Using p-value
Reject ___ if the probability is less than or equal to α
H0
Types of Test Statistics for Hypothesis Tests Concerning Means
Z-test (used when n is large, n ≥ 30)
Z-test for comparing _ sample means (when population standard deviation is given)
Z-test for comparing 2 sample means (when sample standard deviation is given). True or False
True
Is this the formula for Z-test statistics?
Z = (X - μ) / (σ / √n)
True
Where: σ is the population standard deviation, X is the sample mean, μ is the population mean, and n is the sample size.
Calculating Z-test statistics for comparing 2 sample means (when population standard deviation is given)
Z = (X1 - X2) / (σ / √(1/n1 + 1/n2))
True
Where: σ is the population standard deviation, X1 is the mean of the first sample, X2 is the mean of the second sample, n1 is the size of the first sample, n2 is the size of the second sample
A two-tailed test is used when Ha uses words such as _____
not equal to, significantly different etc.
