Calculate the observed value of the chisquare statistic and

Calculate the observed value of the chi-square statistic, and find the appropriate critical value for testing the hypotheses above at the 5%significance level

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.

Solution

1).

H0: The crimes came from population that was uniformly distributed
Ha: 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)

Calculate the observed value of the chi-square statistic, and find the appropriate critical value for testing the hypotheses above at the 5%significance level R

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