Help with 55 and 56 plz
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Answer:
Step-by-step explanation:
Given that in testing the reliability of DNA results used in crime labs, the new procedure matched DNA results to suspects 46 out of 50 times.
i.e population proportion = 46/50 = 0.92
For 99% success rate
Here p the proportion follows normal distribution with mean = 0.92 and
Std error =
Margin of error for 99% = ±2.58*0.038 = ±0.099
Confidence interval lower bound = 0.92-0.099 = 0.8210
Upper bound = 0.92+0.0999 ~1
so Confidence interval - (0.821,1)
(p cannot exceed 1 so 1 is taken)
We are 99% sure the that this new DNA match procedure correctly identifies susspects between (0.821, 1)
since 99% confidence interval contians 1, there is evidence at the .01 level that this procedure will successfully match DNA results 99% of the time