Question

The table lists survey results obtained from a random sample of different crime victims. Use a 0.01 significance level to test the claim that the type of crime is independent of whether the criminal was a stranger. LOADING... Click the icon to view the table. a. State the null and the alternative hypotheses. Choose the correct answer below. A. The null​ hypothesis: The type of crime is somehow related to whether the criminal is a stranger. The alternative​ hypothesis: The type of crime is independent of whether the criminal is a stranger. B. The null​ hypothesis: The type of crime is independent of whether the criminal is a stranger. The alternative​ hypothesis: The type of crime is somehow related to whether the criminal is a stranger. b. Assuming independence between the two​ variables, find the expected frequency for each cell of the table. Homicide Robbery Assault Criminal was a stranger nothing nothing nothing Criminal was acquaintance or relative nothing nothing nothing ​(Round to the nearest tenth as​ needed.) c. Find the value of the chi squared χ2 test statistic. chi squared χ2 equals = nothing ​(Round to the nearest thousandth as​ needed.) d. Use the given significance level to find the chi squared χ2 critical value. The critical value is nothing . ​(Round to the nearest thousandth as​ needed.) e. Using the given significance​ level, complete the test of the claim that the two variables are independent. State the conclusion that addresses the original claim. Choose the correct answer below. The type of crime appears not to be related to whether the criminal is a stranger. The type of crime appears to be somehow related to whether the criminal is a stranger. Homicide Robbery Assault Criminal was a stranger 12 375 724 Criminal was acquaintance or relative 38 104 640

Answer 1

a)

B. The null​ hypothesis: The type of crime is independent of whether the criminal is a stranger. The alternative​ hypothesis: The type of crime is somehow related to whether the criminal is a stranger

b)

Ei=row total*column total/grand total	Homicide	Robbery	Assualt
stranger	29.3	281.1	800.5
aquaintence	20.7	197.9	563.5

c)

  value of the chi squared χ2 test statistic =118.412

d)

chi squared χ2 critical value=9.210

e)

The type of crime appears to be somehow related to whether the criminal is a stranger.