In: Statistics and Probability
Suppose a random sample of 500 adults from Santa Clara County answered this question: “in general, do you believe in ghosts?” 225 responded that they believe in ghosts. Test whether it is plausible that, if you could ask all adults in the Santa Clara County this question, less than half would say they believe in ghosts. Use the significance level of 0.01 for this test. Do not forget to follow those five steps.
Suppose you believe that your long-time supplier of face masks produced less than 2% defective face masks.
a) What are your null and alternative hypotheses for this problem?
b) How do we commit a Type I error for this case?
c) How do we commit a Type II error for this situation?