Definitions. Define each of the following concepts. Where relevant, be sure to say what each is used for. Also, where relevant, give examples. Point Estimate: Null Hypothesis: Type II Error: Standard Error of the Difference in Proportions: Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency.We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7. Construct a 95% confidence interval for the mean number of crimes committed by the population of juveniles. Interpret the meaning of this interval. (continued) Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11. Use a significance level of .05. (Be sure to show the numeric results that lead to your decision.) If you rejected the null hypothesis, explain why. If you failed to reject the null hypothesis, explain why. (Be sure to use the concept of probability in your answer). Suppose we wish to make an estimate of the proportion of the population that has ever been arrested.We take a random sample of 500 people. In this sample, 10% of the respondents report having ever been arrested. Construct a 95% confidence interval for the proportion of people in the population who have been arrested. Interpret, in words, the meaning of this interval.

10th Edition

ISBN:9780134641287

Author:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers

Publisher:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers

Chapter1: Introducing Social Psychology

Section: Chapter Questions

Problem 1RQ1

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Definitions. Define each of the following concepts. Where relevant, be sure to say what each is used for. Also, where relevant, give examples.

Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency.We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7.

Construct a 95% confidence interval for the mean number of crimes committed by the population of juveniles.

Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11. Use a significance level of .05. (Be sure to show the numeric results that lead to your decision.)

If you rejected the null hypothesis, explain why. If you failed to reject the null hypothesis, explain why. (Be sure to use the concept of probability in your answer).

Suppose we wish to make an estimate of the proportion of the population that has ever been arrested.We take a random sample of 500 people. In this sample, 10% of the respondents report having ever been arrested.