Please answer B, C & D. **Educational Exercise on Recidivism Rate Analysis****Problem Context:**The recidivism rate for convicted sex offenders is generally 10%. A warden suspects that this percentage may be lower if the offender is also a drug addict. Among 369 convicted sex offenders who were also drug addicts, 30 became repeat offenders. The goal is to determine if there is a significant difference at the $\alpha = 0.01$ level.**Statistical Analysis Steps:**a. **Type of Test:** - For this study, we use a **z-test for a population proportion**.b. **Formulating Hypotheses:** - Null Hypothesis ($H_0$): $p = 0.10$ (The recidivism rate for sex offenders who are also drug addicts is 10%.) - Alternative Hypothesis ($H_1$): $p < 0.10$ (The recidivism rate for sex offenders who are also drug addicts is less than 10%.)c. **Calculating the Test Statistic:** - The test statistic should be calculated and rounded to three decimal places.d. **Determining the p-value:** - Calculate the p-value and round the result to four decimal places.e. **Comparison with Significance Level:** - Compare the p-value with $\alpha = 0.01$.f. **Conclusion:** - Based on the comparison ($p$-value > $\alpha$), we fail to reject the null hypothesis. - Final conclusion: There is not enough evidence to conclude that the recidivism rate is lower for sex offenders who are drug addicts compared to the general recidivism rate.This exercise guides students through hypothesis testing involving proportions, emphasizing statistical decision-making based on significance levels and p-values.

Denote p as the true population proportion of recidivism rate of convicted sex offenders.

The recidivism rate for convicted sex offenders is 10%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 369 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion ♥ b. The null and alternative hypotheses would be: Ho: [?vSelect an answer♥ (please enter a decimal) H1: ?vSelect an answer v (Please enter a decimal) c. The test statistic ?v = (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 f. Based on this, we should fail to reject the null hypothesis.

The recidivism rate for convicted sex offenders is 10%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 369 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion ♥ b. The null and alternative hypotheses would be: Ho: [?vSelect an answer♥ (please enter a decimal) H1: ?vSelect an answer v (Please enter a decimal) c. The test statistic ?v = (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 f. Based on this, we should fail to reject the null hypothesis.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

100%

Please answer B, C & D.

**Educational Exercise on Recidivism Rate Analysis**

**Problem Context:**
The recidivism rate for convicted sex offenders is generally 10%. A warden suspects that this percentage may be lower if the offender is also a drug addict. Among 369 convicted sex offenders who were also drug addicts, 30 became repeat offenders. The goal is to determine if there is a significant difference at the $\alpha = 0.01$ level.

**Statistical Analysis Steps:**

a. **Type of Test:**
- For this study, we use a **z-test for a population proportion**.

b. **Formulating Hypotheses:**
- Null Hypothesis ($H_0$): $p = 0.10$ (The recidivism rate for sex offenders who are also drug addicts is 10%.)
- Alternative Hypothesis ($H_1$): $p < 0.10$ (The recidivism rate for sex offenders who are also drug addicts is less than 10%.)

c. **Calculating the Test Statistic:**
- The test statistic should be calculated and rounded to three decimal places.

d. **Determining the p-value:**
- Calculate the p-value and round the result to four decimal places.

e. **Comparison with Significance Level:**
- Compare the p-value with $\alpha = 0.01$.

f. **Conclusion:**
- Based on the comparison ($p$-value > $\alpha$), we fail to reject the null hypothesis.
- Final conclusion: There is not enough evidence to conclude that the recidivism rate is lower for sex offenders who are drug addicts compared to the general recidivism rate.

This exercise guides students through hypothesis testing involving proportions, emphasizing statistical decision-making based on significance levels and p-values.

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