Hypothesis Testing: A Template for Statistical Analysis - Prof. J. Carroll, Study notes of Data Analysis & Statistical Methods

A step-by-step template for conducting hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. The template covers the four steps of hypothesis testing, including stating the null and alternative hypotheses, selecting a significance level, choosing the appropriate test statistic, and interpreting the results.

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Pre 2010

Uploaded on 02/13/2009

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Hypothesis Testing Template
First, write down all of the numbers given in the problem. Second, figure out what statistic or parameter is associated
with each number. This will help you with the four steps of hypothesis testing.
n1=
1
x
= s1 = 1 = 1 =
n2=
2
x
= s2 = 2 = 2 =
or for categorical data: n1= p1 = 1 = n2= p2 = 2 =
Step 1: State H0 and HA H0: vs. HA:
Step 2: Pick an -level.level.
H0 true
H0 false
Reject H0
Fail to reject H0
Type I error
Type II error
Significance level, =
Step 3: Pick the appropriate test-level.statistic based on whether the data satisfies the test-level.statistic’s assumptions. Start by
listing the assumptions for the test below. Check if each assumption is met by the data. Then find the p-level.value. Use the
flowchart for this part.
Assumptions:
TS:
p-level.value <
Step 4: State the conclusion, including whether you rejected or failed to reject AND what this means in terms of your
decision.

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Hypothesis Testing Template

First, write down all of the numbers given in the problem. Second, figure out what statistic or parameter is associated with each number. This will help you with the four steps of hypothesis testing.

n 1 = x 1^ = s 1 =  1 =  1 =

n 2 = x 2^ = s 2 =  2 =  2 =

or for categorical data: n 1 = p 1 =  1 = n 2 = p 2 =  2 = Step 1: State H 0 and HA  H 0 : vs. HA: Step 2: Pick an -level.level. H 0 true  H 0 false  Reject H 0  Fail to reject H 0  Type I error  Type II error  Significance level,  = Step 3: Pick the appropriate test-level.statistic based on whether the data satisfies the test-level.statistic’s assumptions. Start by listing the assumptions for the test below. Check if each assumption is met by the data. Then find the p -level.value. Use the flowchart for this part. Assumptions: TS: p -level.value < Step 4: State the conclusion, including whether you rejected or failed to reject AND what this means in terms of your decision.