**Title: Analyzing Crime Rate Trends Through Statistical Hypotheses**Is the national crime rate really going down? Some sociologists say yes! They suggest that the decline in crime rates during the 1980s and 1990s can be attributed to demographics, as the population ages and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 33 arrests last month, 28 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.**Questions to Explore:**a) What is the level of significance?**Hypotheses:**State the null and alternate hypotheses.- \( H_0: p = 0.7; H_1: p \neq 0.7 \)- \( H_0: p = 0.7; H_1: p > 0.7 \)- \( H_0: p = 0.7; H_1: p < 0.7 \)**Highlighted Selection:** \( H_0: p = 0.7; H_1: p \neq 0.7 \) is the test under consideration.b) What sampling distribution will you use?- The Student's t, since np ≤ 5 and nq ≤ 5.- The Student's t, since np ≤ 5 and nq > 5.- The standard normal, since np ≤ 5 and nq ≤ 5.- The standard normal, since np > 5 and nq > 5.**Highlighted Incorrect Selection:** The standard normal, since np > 5 and nq ≤ 5.**Calculation Inquiry:**What is the value of the sample test statistic? (Round your answer to two decimal places.)

Name: **Title: Analyzing Crime Rate Trends Through Statistical Hypotheses**
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: **Title: Analyzing Crime Rate Trends Through Statistical Hypotheses**Is the national crime rate really going down? Some sociologists say yes! They suggest that the decline in crime rates during the 1980s and 1990s can be attributed to demographics,