The table below shows data from a study to evaluate the performance of a PCR test for 140 people for whom a variant of SARS Cov2 was known to be present and 70 people for whom it was known to be absent. SARS Cov2 Present Absent Test+ 116 22 Test- 24 48 Total 140 70 Estimate the sensitivity and the specificity for the PCR screening test. Provide a two-sided 0.95 confidence interval for sensitivity and repeat for specificity. If 70% of the population test positive for SARS COV2 and 30% does not, estimate the proportion of the non-diseased people among those who have negative test.

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The table below shows data from a study to evaluate the performance of a PCR test for 140
people for whom a variant of SARS Cov2 was known to be present and 70 people for
whom it was known to be absent.
11.
111.
SARS COV2
Present
Absent
Test+
116
22
Test-
24
48
Total
140
70
Estimate the sensitivity and the specificity for the PCR screening test.
Provide a two-sided 0.95 confidence interval for sensitivity and repeat for
specificity.
If 70% of the population test positive for SARS COV2 and 30% does not, estimate
the proportion of the non-diseased people among those who have negative test.
Transcribed Image Text:The table below shows data from a study to evaluate the performance of a PCR test for 140 people for whom a variant of SARS Cov2 was known to be present and 70 people for whom it was known to be absent. 11. 111. SARS COV2 Present Absent Test+ 116 22 Test- 24 48 Total 140 70 Estimate the sensitivity and the specificity for the PCR screening test. Provide a two-sided 0.95 confidence interval for sensitivity and repeat for specificity. If 70% of the population test positive for SARS COV2 and 30% does not, estimate the proportion of the non-diseased people among those who have negative test.
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