6. In the General Social Survey, a question asked is whether a respondent favors or opposes death penalty for persons convicted of murder. The output for this survey compares the proportions that said that they were opposed to the death penalty in the year 2000 and the year 1993. Year x n 2000 801 2565 1993 337 1488 a. What proportion of the year 2000 sample was opposed to the death penalty? What proportion of the year 1993 sample was opposed? b. What is the estimated difference between the proportions opposed to the death penalty in the two years? (Assume 95% confidence interval)
Added by Cindy A.
Close
Step 1
Given: Number of people opposed in 2000 = 801 Total number of people in 2000 = 2565 Proportion opposed in 2000 = Number of people opposed / Total number of people Proportion opposed in 2000 = 801 / 2565 Proportion opposed in 2000 = 0.312 ** Show more…
Show all steps
Your feedback will help us improve your experience
Qudsiya Anis and 91 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the results below, where X refers to the number of the respondents who were in favor. Construct the 95% confidence interval for the proportion of the adults who were opposed to the death penalty from the confidence interval stated below for the proportion in favor. X: 1772 N: 2633 Sample p: 0.673 95.0% CI: (0.655, 0.691) The 95% confidence interval for those opposed is ( , ). (Round to three decimal places as needed.)
Joanna Q.
In the 2000 General Social Survey, respondents were asked whether they favored or opposed the death penalty for people convicted of murder. Of the 2565 people surveyed, 1764 said that they were in favor of the death penalty for convicted murders. Calculate: b. Construct a 95% confidence interval for p, the true population proportion. c. Explain what "95% confidence" refers to. d. Can you conclude that more than half of all Americans were in favor? Why? e. What is the margin of error in this confidence interval? f. What is the z-multiplier in this confidence interval? g. What is the standard error in this confidence interval?
Cheng Z.
Inmates In $2002,$ the mean age of an inmate on death row was 40.7 years, according to data obtained from the U.S. Department of Justice. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 deathrow inmates and finds that their mean age is $38.9,$ with a standard deviation of $9.6 .$ (a) Do you believe the mean age has changed? Use the $\alpha=0.05$ level of significance. (b) Construct a $95 \%$ confidence interval about the mean age. What does the interval imply?
Hypothesis Tests Regarding a Parameter
Hypothesis Tests for a Population Mean in Practice
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD