Question

A tax preparation firm is interested in comparing the quality of work at two of its regional offices. the observed frequencies showing the number of sampled returns with errors and the number of sampled returns that were correct are as follows.
regional office
return office 1 office 2
error 35 28
correct 217 274

Answer 1

The sample proportion of returns with errors at the two tax offices will be 0.1389 and 0.0927 respectively.

How to calculate the sample proportion?

From the information, the the observed frequencies showing the number of sampled returns with errors and the number of sampled returns were given.

The sample proportion will be:

P1 = 35/(35 + 217)

= 35/252

= 0.1389

P2 = 28/(28 + 274)

= 28/302

= 0.0927

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