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Course: Statistics and probability?>?Unit 12
Lesson 3: Tests about a population proportion- Constructing hypotheses for a significance test about a proportion
- Writing hypotheses for a test about a proportion
- Conditions for a z test about a proportion
- Reference: Conditions for inference on a proportion
- Conditions for a z test about a proportion
- Calculating a z statistic in a test about a proportion
- Calculating the test statistic in a z test for a proportion
- Calculating a P-value given a z statistic
- Calculating the P-value in a z test for a proportion
- Making conclusions in a test about a proportion
- Making conclusions in a z test for a proportion
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Making conclusions in a z test for a proportion
Problem
Antonia read an article that said of Americans can speak more than one language. She was curious if this figure was higher in her city, so she tested vs. , where represents the proportion of people in her city that can speak more than one language.
Antonia took a sample of people in her city found that of those sampled could speak more than one language. The test statistic for these results was , and the corresponding P-value was approximately . Assume that the conditions for inference were met.
Is there sufficient evidence at the level to conclude that the proportion of people in her city that can speak more than one language is greater than ?