In a certain survey, 523 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, etc)?" Among the respondents, 54% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts (a) through (d) below.
a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used?
b. It was stated that we can easily remember how to interpret the P-values with this: "If the P is low, the null must go." What does this mean?"
c. Another memory trick commonly used is this: "If the P is high, the null will fly." Given that a hypothesis test never results in a conclusion of proving or supporting a null hypothesis, how is this memory trick misleading?
d. Common significance levels are 0.01 and 0.05. Why would it be unwise to use a significance level with a number like 0.0483?