Sango Stats
Hypothesis Testing [p-value Method]
Claim about a single proportion
​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: Wizard Professor Allen is conducting research on the effectiveness of green magic stones. He studied 200 stones and found that 146 of the stones were effective in producing fire breathing hamsters. He claims that less than 75% of all green stones are effective in producing fire breathing hamsters. Test his claim using a 0.05 level of significance.
1. Identify the claim
75% of all green stones are effective in producing fire breathing hamsters
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 “1-PropZTest…”
Input information and press “Calculate”
p-value = 0.2568144886
4. Decide to reject or fail to reject the null hypothesis by comparing p-value to significance value
Since the p-value is greater than the significance level, we fail to reject the Null Hypothesis. ​
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5. Conclude
There is not enough evidence to support the claim that less than 75% of all green stones are effective in producing fire breathing hamsters