a medical website states that 40% of U.S. adults are registered organ donors. A researcher believes...
a medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too high and wants to test to see if it is lower. She selects a random sample 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. compute the p-value and state a conclusion.
Homework Answers
#3.
Below are the null and alternative Hypothesis,
Null Hypothesis: p = 0.4
Alternative Hypothesis: p < 0.4
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.37 - 0.4)/sqrt(0.4*(1-0.4)/200)
z = -0.87
P-value Approach
P-value = 0.1922
As P-value >= 0.05, fail to reject null hypothesis.
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