A webassign.net 88 83 Homework - MATH 1401, section 1E0 - Knofezynski, Spring 2022 | WebAss. O TurboTar Login - Sign in to TurboTax to work on Your Tax Return Lesson 83 Homework Elementary Statistics Section 1EG Spring 2022 co Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, 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 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 29 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%. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P= 0.7; H: p> 0.7 O Hoi p<0.7; H: p- 0.7 O Hại p-0.7; H:p < 0.7 O Ho: p+ 0.7; H,: p = 0.7 O Hại p- 0.7; H: p + 0.7 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The Student'st, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Ar

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Lesson 8.3 Homework - Elementary Statistics Section 1EG Spring 2022 Cco
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population
is aging, 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 yearst. Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 29 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%.
A USE SALT
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: P- 0.7; H:p > 0.7
Hoi p < 0.7; H,: p = 0.7
Hgip 0.7; H,: p < 0.7
O Hoi p+ 0.7; H,: p = 0.7
Hoi p- 0.7; H: p 0.7
(b) What sampling distribution will you use?
The Student's t, since np > 5 and ng > 5.
O The Student's t, since np < 5 and ng < 5.
O The standard normal, since np > 5 and ng > 5.
O The standard normal, since np < 5 and ng < 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
E
D
G
C.
B
IN
Transcribed Image Text:A webassign.net 88 < > 83 Homework - MATH 1401, section 1E0 - Knofczynski, Spring 2022 | WebAss. O TurboTax Login - Sign in to TurboTax to work on Your Tax Return Lesson 8.3 Homework - Elementary Statistics Section 1EG Spring 2022 Cco Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, 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 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 29 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%. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. Ho: P- 0.7; H:p > 0.7 Hoi p < 0.7; H,: p = 0.7 Hgip 0.7; H,: p < 0.7 O Hoi p+ 0.7; H,: p = 0.7 Hoi p- 0.7; H: p 0.7 (b) What sampling distribution will you use? The Student's t, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. E D G C. B IN
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