You must show your work: 1. Clearly state the significance level, sample size, sample proportion 2. Clearly state the null hypothesis and alternative hypothesis 3. Present the test statistics (z-score) and P-value 4. Decided if the null hypothesis should be rejected for the alternative or not. 5. Write out the conclusion to the question. A The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer Ho: ? H₁: ? Select an answer c. The test statistic ? ✓ = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%. O The data suggest the populaton proportion is significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is equal to 15%.
You must show your work: 1. Clearly state the significance level, sample size, sample proportion 2. Clearly state the null hypothesis and alternative hypothesis 3. Present the test statistics (z-score) and P-value 4. Decided if the null hypothesis should be rejected for the alternative or not. 5. Write out the conclusion to the question. A The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer Ho: ? H₁: ? Select an answer c. The test statistic ? ✓ = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%. O The data suggest the populaton proportion is significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is equal to 15%.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:# Hypothesis Testing for Proportions
## Instructions
You must show your work in the following steps:
1. Clearly state the significance level, sample size, sample proportion.
2. Clearly state the null hypothesis and alternative hypothesis.
3. Present the test statistics (z-score) and P-value.
4. Decide if the null hypothesis should be rejected for the alternative or not.
5. Write out the conclusion to the question.
## Problem Statement
The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percentage is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the α = 0.05 level of significance?
### Questions and Steps
- **a.** For this study, we should use (Select an answer)
- **b.** The null and alternative hypotheses would be:
- \( H_0: \) (Select an answer) \( \_ \) (please enter a decimal)
- \( H_1: \) (Select an answer) \( \_ \) (Please enter a decimal)
- **c.** The test statistic \( z \) = \(\_\_\_\_\) (please show your answer to 3 decimal places.)
- **d.** The p-value = \(\_\_\_\_\) (Please show your answer to 4 decimal places.)
- **e.** The p-value is \( \_\_ \) α
- **f.** Based on this, we should (Select an answer) the null hypothesis.
- **g.** Thus, the final conclusion is that…
- ○ The data suggest the population proportion is not significantly higher than 15% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%.
- ○ The data suggest the population proportion is significantly higher than 15% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is higher than 15%.
- ○ The data suggest the population proportion is significantly higher than 15% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug
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