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Part $1$

A computer used by a$24-$hour banking service is supposed to randomly assign each transaction to one of $5$ memory locations. A check at the end of a$$ day's transactions gave the counts shown in the table to each of the $5$ memory$$ locations, along with the number of reported errors.

Memory$$ Location:

$1$

$2$

$3$

$4$

$5$

Number of$$ Transactions:

$82$

$100$

$74$

$92$

$102$

Number of Reported Errors

$11$

$12$

$6$

$9$

$10$

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the $5$ memory locations differ.

The calculated value of the test statistic is which of the$$ following?

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Part $1$

A$.$

$1\mathrm{.}5190$

B$.$

minus$0\mathrm{.}0185$

C$.$

$1\mathrm{.}4999$

D$.$

minus$0\mathrm{.}1777$