Preparing to Test a Claim about a Population Proportion
Question 1 • CA-Statistics and Probability B
It is believed that 80% of adults are honest. An honesty experiment was conducted on a random sample of 50 adults. It was discovered that 42 of the adults were honest. The researcher would like to know if the data provide convincing evidence that more than 80% of adults are honest. What are the values of the test statistic and P-value for this test?Find the z-table here.
Answer
A
z = StartStartFraction 0.84 minus 0.8 OverOver StartRoot StartFraction 0.8 (1 minus 0.8) Over 50 EndFraction EndEndFraction, p-value = 0.4778
B
z = StartStartFraction 0.84 minus 0.8 OverOver StartRoot StartFraction 0.8 (1 minus 0.8) Over 50 EndFraction EndEndFraction, p-value = 0.2389
C
z = StartStartFraction 0.8 minus 0.84 OverOver StartRoot StartFraction 0.84 (1 minus 0.84) Over 50 EndFraction EndEndFraction, p-value = 0.2389
D
z = StartStartFraction 0.8 minus 0.84 OverOver StartRoot StartFraction 0.84 (1 minus 0.84) Over 50 EndFraction EndEndFraction, p-value = 0.4778