STA 310H5 independent is the type of crime the obtained. committed cases was 10,

Question

STA 310H5 independent is the type of crime the obtained. committed cases was 10, (10 marks, marks and victim? Data relationship between perpetrator Assault Total Observations Homicide Robbery stranger 727 11 18 12 379 Acquaintance or 39 106 642 787 Relative 485 1369 1905 Total Homicide Robbery Assault Total Expected Counts 11 18 29.9 Stranger Acquaintance or 565.6 787 21.1 Relative Total 51 485 1369 1905 a. What are the null and alternative hypotheses? b. Under the null hypothesis, how many crimes are expected to be "Robbery by Stranger"?

Explanation / Answer

Null Hypothesis: there is no association between perpetrator and Victim

Alternative hypothesis:there is association between perpetrator and Victim

Using Minitab:

Tabulated Statistics: C1, Homicide Robbery Assault

Rows: C1   Columns: Homicide Robbery Assault

                            Homicide Robbery Assault   All

Stranger                          12      379      727 1118
                                29.9    284.6    803.4

Acquaintance or Relative          39      106      642   787
                                21.1    200.4    565.6

All                               51      485     1369 1905

Cell Contents:      Count
                    Expected count

Pearson Chi-Square = 119.330, DF = 2, P-Value = 0.000
Likelihood Ratio Chi-Square = 125.556, DF = 2, P-Value = 0.000

P-value < 0.000. if you select an a-level of 0.05, we reject null hypothesis you can conclude that there is an association between perpetrator and Victim.

Hop this will be helpful. Thanks and God bless You :-)

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