ou are interested in whether using murder weapons differs by gender.  The following contingency table shows the joint distribution of the two variables.  Table D. Murder Weapon and Gender of Offender Type of Weapon Male Female Gun 90 30 Knife 42 21 Other 16 15         After computing a chi-square test of independence at alpha = 0.01, complete the sentences below by choosing 4 correct answers  Because the obtained Chi-square is [v] than the critical value of Chi-square, p-value is [w] than alpha. Consequently, [x] hypothesis is [y]. Thus, there is [z] evidence that one variable is contingent upon the other variable at the alpha level.

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You are interested in whether using murder weapons differs by gender.  The following contingency table shows the joint distribution of the two variables. 

Table D. Murder Weapon and Gender of Offender

Type of Weapon Male Female
Gun 90 30
Knife 42 21
Other 16 15
     

 

After computing a chi-square test of independence at alpha = 0.01, complete the sentences below by choosing 4 correct answers 

Because the obtained Chi-square is [v] than the critical value of Chi-square, p-value is [w] than alpha. Consequently, [x] hypothesis is [y]. Thus, there is [z] evidence that one variable is contingent upon the other variable at the alpha level.

Because the obtained Chi-square is less than the critical value of Chi-square,
Because the obtained Chi-square is larger than the critical value of Chi-square,
p-value is less than alpha.
p-value is larger than alpha.
Consequently, null hypothesis is rejected.
Consequently, null hypothesis is not rejected.
Consequently, alternative hypothesis is rejected.
Consequently, alternative hypothesis is not rejected.
Thus, there is sufficient evidence that one variable is contingent upon the other
variable at the alpha level.
Thus, there is no sufficient evidence that one variable is contingent upon the
other variable at the alpha level.
Transcribed Image Text:Because the obtained Chi-square is less than the critical value of Chi-square, Because the obtained Chi-square is larger than the critical value of Chi-square, p-value is less than alpha. p-value is larger than alpha. Consequently, null hypothesis is rejected. Consequently, null hypothesis is not rejected. Consequently, alternative hypothesis is rejected. Consequently, alternative hypothesis is not rejected. Thus, there is sufficient evidence that one variable is contingent upon the other variable at the alpha level. Thus, there is no sufficient evidence that one variable is contingent upon the other variable at the alpha level.
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