Find the test statistic for this test. (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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How do you find the z score and p value?
Suon Heip
Investigators performed a randomized experiment in which 420 juvenile delinquents were randomly assigned to either multisystemic therapy (MST) or just probation
(control group). Of the 219 assigned to therapy, 88 had criminal convictions within 12 months. Of the 201 in the control group, 74 had criminal convictions within 12
months. Determine whether the therapy caused significantly fewer arrests at a 0.01 significance level. Start by comparing the sample percentages.
The percentage of arrests for people who received probation was 36.82 %.
(Type an integer or decimal rounded to two decimal places as needed.)
The arrest rate was greater for people in the treatment group.
Let p, represent the population proportion for people who are arrested after having received the treatment and let p2 represent the population proportion of people
who are arrested after having not received the treatment. Write the hypotheses for the test.
Ho: P1= P2
Ha: P1<P2
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.)
Transcribed Image Text:Suon Heip Investigators performed a randomized experiment in which 420 juvenile delinquents were randomly assigned to either multisystemic therapy (MST) or just probation (control group). Of the 219 assigned to therapy, 88 had criminal convictions within 12 months. Of the 201 in the control group, 74 had criminal convictions within 12 months. Determine whether the therapy caused significantly fewer arrests at a 0.01 significance level. Start by comparing the sample percentages. The percentage of arrests for people who received probation was 36.82 %. (Type an integer or decimal rounded to two decimal places as needed.) The arrest rate was greater for people in the treatment group. Let p, represent the population proportion for people who are arrested after having received the treatment and let p2 represent the population proportion of people who are arrested after having not received the treatment. Write the hypotheses for the test. Ho: P1= P2 Ha: P1<P2 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.)
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