The p-value for testing a hypothesis of
H0: μ=100
Ha: μ≠100
is 0.064 with a sample size of n= 50. Using this information, answer the following questions.
(a) What decision is made at the α= 0.05 significance level?
(b) If the decision in part (a) is in error, what type of error is it?
(c) Would a 95% confidence interval forμcontain 100? Explain.
(d) Suppose we took a sample of size n= 200 and found the exact same value of ̄x and s. How would this change the p-value of the test?
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