A concerned group of citizens wanted to know if the proportion of forcible rapes in Indonesia was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Indonesia in 2010, 7,622 of them were forcible rapes. In 2011, 7,439 of the 104,873 violent crimes were in the forcible rape category. Test at a 5% significance level. Answer the following questions: Is this a test of two means or two proportions? Which distribution do you use to perform the test? What is the random variable? Write the null and alternative hypothesis in symbols. Is this test right-, left-, or two-tailed? What is the p-value? Do you reject or not reject the null hypothesis? At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that ____________.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A concerned group of citizens wanted to know if the proportion of forcible rapes in Indonesia was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Indonesia in 2010, 7,622 of them were forcible rapes. In 2011, 7,439 of the 104,873 violent crimes were in the forcible rape category. Test at a 5% significance level. Answer the following questions:

  1. Is this a test of two means or two proportions?
  2. Which distribution do you use to perform the test?
  3. What is the random variable?
  4. Write the null and alternative hypothesis in symbols.
  5. Is this test right-, left-, or two-tailed?
  6. What is the p-value?
  7. Do you reject or not reject the null hypothesis?
  8. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that ____________.

 

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