In knee surgery, the doctors considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears longer than 25 millimeters, 14 out of 18 repairs were successful, meanwhile for shorter tears, 22 out of 30 repairs were successful in the surgery. (i) If no estimation of the sample proportion for

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In knee surgery, the doctors considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears longer than 25 millimeters, 14 out of 18 repairs were successful, meanwhile for shorter tears, 22 out of 30 repairs were successful in the surgery. (i) If no estimation of the sample proportion for the longer tears that were successful given, what sample size is needed if we are 90% confident that the margin of error can be reduced to 1%?
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