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# Unit 10: Inference for categorical data: Proportions

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## About this unit

How many people do you have to poll to have a 90% confidence in the outcome of an upcoming election? This unit, which covers confidence intervals and significance tests for proportions of populations, will show you how to do just that.

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- Conditions for a z interval for a proportionGet 3 of 4 questions to level up!
- Finding the critical value z* for a desired confidence levelGet 3 of 4 questions to level up!
- Calculating a z interval for a proportionGet 3 of 4 questions to level up!
- Sample size and margin of error in a z interval for pGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

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### Practice

- Writing null and alternative hypothesesGet 3 of 4 questions to level up!
- Estimating P-values from simulationsGet 3 of 4 questions to level up!

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- Writing hypotheses for a test about a proportionGet 3 of 4 questions to level up!
- Conditions for a z test about a proportionGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

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### Practice

- Calculating the test statistic in a z test for a proportionGet 3 of 4 questions to level up!
- Calculating the P-value in a z test for a proportionGet 3 of 4 questions to level up!

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- Making conclusions in a z test for a proportionGet 3 of 4 questions to level up!

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- Type I vs Type II errorGet 3 of 4 questions to level up!
- Error probabilities and powerGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

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### Practice

- Conditions for inference on two proportionsGet 3 of 4 questions to level up!
- Two-sample z interval for the difference of proportionsGet 3 of 4 questions to level up!

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### Practice

- Writing hypotheses for testing the difference of proportionsGet 3 of 4 questions to level up!
- Test statistic in a two-sample z test for the difference of proportionsGet 3 of 4 questions to level up!
- P-value in a two-sample z test for the difference of proportionsGet 3 of 4 questions to level up!
- Making conclusions about the difference of proportionsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 480 Mastery points

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Level up on all the skills in this unit and collect up to 1,900 Mastery points!#### Unit test

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