Sango Stats
Hypothesis Testing [p-value Method]
Claim about a single mean
Basic Steps of Hypothesis Testing
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Identify the claim
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Write out the hypothesis and label the original claim and counter claim
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Use technology to calculate p-value
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Decide to reject or fail to reject the null hypothesis by comparing p-value to significance value
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Conclude
Example: A professor at the Wizard’s College of Atlantis believes that the average time his students spend on their hamster spells is less than 4 hours a day. He conducts a survey of 40 students and finds that the average time of this sample is 3.85 hours with a standard deviation of 0.20 hours. Use a 0.05 significance level to test the claim that the average study time of hamster spells is less than 4 hours.
1. Identify the claim
The average study time of hamster spells is less than 4 hours
2. Write out the hypothesis and label the original claim and counter claim
3. Use technology to calculate p-value
Press STAT
Use the right arrow to select TESTS and select “T-Test…”
Input information and Press “Calculate”
p-value = 1.4022692E-5 = 0.000014022692
4. Decide to reject or fail to reject the null hypothesis by comparing p-value to significance value
Since the p-value is less than the significance level, we reject the Null Hypothesis
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5. Conclude
There is enough evidence to support the claim that the students spend less than 4 hours on their hamster spells.
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