Bill, a psychologist, has developed a new aptitude test. He was able to show (through a somewhat dubious study) that 78% of the public passed the test. A second psychologist, Tamera, wants to recreate this study. She believes the actual percentage is not 78%. A random sample of 200 people took the test, and 166 passed.
a) State the null and alternate hypotheses to test the claim that the actual percentage is different than 78%.
H0: p=
HA: p≠
b) What is the point estimate for the proportion of the public that passed the test?
Point Estimate =
c) Using a standard error of 0.0314, what is the test statistic?
Test Statistic =
d) Compute the p-value.
The p-value =
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