Researchers want to determine whether criminals are more lik

Researchers want to determine whether criminals are more likely to commit crimes on certain days of the week. They randomly selected the records of 154 crimes and determined the day each crime was committed. The results are summarized in the table below. If criminals do not tend to commit crimes on certain day, then crimes should be uniformly distributed in the week. In this case, the distribution of crimes should be as follows in the table below. State the appropriate hypotheses (in English) needed to test whether the random sample of crimes observed came from a population that is uniformly distributed. Calculate the observed value of the chi-square statistic. Find the appropriate critical value for testing the hypotheses above at the 5% significance level. State a conclusion at the 5% significance level. Bonus ( 5 pts): Calculate the p - value for this test. [Hint: Use Minitab.]

Solution

1).

H₀: The crimes came from population that was uniformly distributed
H_a: The crimes came from population that was not uniformly distributed

2).

Goodness of Fit Test

observed

Expected= 154/7

O - E

(O - E)

Goodness of Fit Test
	observed	Expected= 154/7	O - E	(O - E)