SOLUTION: A method currently used by doctors to screen women for breast cancer fails to detect cancer in 15% of the women who actually have the disease. A random sample of 80 women known to

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Question 677847: A method currently used by doctors to screen women for breast cancer fails to detect cancer in 15% of the women who actually have the disease. A random sample of 80 women known to have breast cancer are to be screened using a new method that researchers think will be able to detect cancer more accurately. At the 0.05 level of significance, the researchers will be able to conclude that the new method is better than the current one if the appropriate test statistic has a value:
Answer
a.
Greater than 1.96
b.
Less than −1.645
c.
Less than 1.645
d.
Greater than −1.96
e.
Greater than 1.96 in absolute value
Answer by stanbon(75887) (Show Source):
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A method currently used by doctors to screen women for breast cancer fails to detect cancer in 15% of the women who actually have the disease. A random sample of 80 women known to have breast cancer are to be screened using a new method that researchers think will be able to detect cancer more accurately. At the 0.05 level of significance, the researchers will be able to conclude that the new method is better than the current one if the appropriate test statistic has a value:
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Comment: "...more accurately..." implies that Ha contains > ; so the
test is a right-tail test.
Ho: p <= 0.15
Ha: p > 0.15 (claim)
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Answer::: greater than 1.645
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Cheers,
Stan H.
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