Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation​ (the experimental​ group) or just probation​ (the control​ group). Out of people 238 in the counseling​ group, 51 were arrested within 12 months. Out of 171 people assigned to​ probation,41 were arrested within 12 months. Determine whether counseling lowered the arrest​rate; use a 0.05 significance level. Start by comparing the percentages. 1. Write the hypothesis for the test. Ho ___ Ha ____ 2. z = ___  ​(Round to two decimal places as​needed.) 3. p-value = ____ (Round to three

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation​ (the experimental​ group) or just probation​ (the control​ group). Out of people 238 in the counseling​ group, 51 were arrested within 12 months. Out of 171 people assigned to​ probation,41 were arrested within 12 months. Determine whether counseling lowered the arrest​rate; use a 0.05 significance level. Start by comparing the percentages.

1. Write the hypothesis for the test. Ho ___ Ha ____

2. z = ___  ​(Round to two decimal places as​needed.)

3. p-value = ____ (Round to three decimal places as​needed.)

4. What is the conclusion for this​ test? Use a significance level of 0.05.

Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group). Out of 238 people in the counseling group, 51 were
arrested within 12 months. Out of 171 people assigned to probation, 41 were arrested within 12 months. Determine whether counseling lowered the arrest rate; use a 0.05 significance level. Start by comparing the percentages.
The arrest rate was greater for defendants in the
group.
Let p, = P, be the population arrest rate for people receiving counseling, and let p, = P, be the population arrest rate for people not receiving counseling. Test the hypothesis that the arrest rate was less for those that received counseling at
a 0.05 significance level. Write the hypotheses for the test.
Ho:
На
Find the test statistic for this test.
z= (Round to two decimal places as needed.)
Find the p-value for this test.
p-value = (Round to three decimal places as needed.)
What is the conclusion for this test? Use a significance level of 0.05.
Ho. Counseling
V been shown to lower the arrest rate.
Transcribed Image Text:Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group). Out of 238 people in the counseling group, 51 were arrested within 12 months. Out of 171 people assigned to probation, 41 were arrested within 12 months. Determine whether counseling lowered the arrest rate; use a 0.05 significance level. Start by comparing the percentages. The arrest rate was greater for defendants in the group. Let p, = P, be the population arrest rate for people receiving counseling, and let p, = P, be the population arrest rate for people not receiving counseling. Test the hypothesis that the arrest rate was less for those that received counseling at a 0.05 significance level. Write the hypotheses for the test. Ho: На Find the test statistic for this test. z= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? Use a significance level of 0.05. Ho. Counseling V been shown to lower the arrest rate.
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