Two surgical procedures are widely used to treat a certain type of cancer. To compare the success rates of the two procedures, random samples of the two types of surgical patients were obtained and the numbers of patients who showed no recurrence of the disease after a 1-year period were recorded. The data are shown in the table. How large a sample would be necessary in order to estimate the difference in the true success rates to within 0.10 with 95% reliability? Procedure A Procedure B n 100 100 n₁ = n₂ = 192 n₁ = n₂ = 15 n₁ = n₂ = 30 n₁ = n₂ = 20 Number of Successes 95 97

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Two surgical procedures are widely used to treat a certain type of cancer. To
compare the success rates of the two procedures, random samples of the two types
of surgical patients were obtained and the numbers of patients who showed no
recurrence of the disease after a 1-year period were recorded. The data are shown in
the table. How large a sample would be necessary in order to estimate the difference
in the true success rates to within 0.10 with 95% reliability?
Procedure A
Procedure B
n
100
100
n₁ = n₂ = 192
n₁ = n₂ = 15
n₁ = n₂ = 30
n₁ = n₂ = 20
Number of Successes
95
97
Transcribed Image Text:Two surgical procedures are widely used to treat a certain type of cancer. To compare the success rates of the two procedures, random samples of the two types of surgical patients were obtained and the numbers of patients who showed no recurrence of the disease after a 1-year period were recorded. The data are shown in the table. How large a sample would be necessary in order to estimate the difference in the true success rates to within 0.10 with 95% reliability? Procedure A Procedure B n 100 100 n₁ = n₂ = 192 n₁ = n₂ = 15 n₁ = n₂ = 30 n₁ = n₂ = 20 Number of Successes 95 97
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