Chapter 10: One-Sample Tests of Hypothesis (Hypothesis Testing (5.Take…
Chapter 10: One-Sample Tests of Hypothesis
Decision rule using the p-value:
Reject H0 if p-value < significance level
p-value can also be compared to the significance level ()
Probability of observing a sample value as extreme as, or more extreme than, the value observed, given that the null hypothesis is true
Type for Errors
Type 2 Error
Denoted by the Greek letter “β”
Probability of "accepting" the null hypothesis when it is actually false
Type 1 Error
Also known as the significance level of a test
Denoted by the Greek letter ""
Probability of rejecting the null hypothesis when it is actually true
Testing for the Population Mean: Population Standard Deviation Unknown
The t distribution is used as test statistic and computed
When the population standard deviation (σ) is unknown, the sample standard deviation (s) is used in its place. l
3.Identify test static
2.Select level significant
1.State null and and alternate hypothesis
The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected.
A value, determined from sample information, used to determine whether to reject the null hypothesis.
A procedure based on sample evidence and probability theory to determine whether the hypothesis is a reasonable statement.
A statement about the value of a population parameter developed for the
purpose of testing.