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AP®︎/College Statistics

Course: AP®︎/College Statistics>Unit 10

Lesson 6: Concluding a test for a population proportion

Making conclusions in a test about a proportion

Example of how to make a conclusion in a test about a proportion.

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• Why can we conclude that more than 50% of adults support the tax increase? I can only conclude that p is not equal to 50%
• The proportion for the sample is greater that p in H0.
(1 vote)
• Why do significance levels exist?
(1 vote)
• They exist to test the validity of a hypothesis in the set criteria. For example in the scientific world there exists a sig level of .05 to ensure that all scientists make conclusions using the same criteria and the idea of significance is n't something that can be made up of the individual researcher.
• Why isn't answer B correct? With this alpha, we would fail to find evidence suggesting that p > 0.5, so we can conclude that p < 0.5 no?
(1 vote)
• Remember that the sample proportion is 113∕200 > 0.5, which in itself makes it more likely than not that the population proportion is also more than 0.5

The significance test doesn't tell us that the population proportion isn't more than 0.5, it only tells us that we don't have enough evidence to safely say that it is.