Question

In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: “Should Americans replace passwords with biometric security (fingerprints, etc)?” Among the respondents, 53% said “yes.” We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Equivalence of Methods If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not equivalent to the other two?

Short answer

The confidence interval method is not equivalent to the p-value, and the critical value methods

Step-by-step solution

Given information

It is given that out of 510 people who responded to a survey, 53% said “yes” to the question of whether they should replace passwords with biometric security.

Equivalence of methods

Let the level of significance be $\alpha$.

The p-value and the critical value method that can be used to test the given claim utilizes a z-score value with the level of significance equal to role="math" localid="1648623739821" $\alpha$.

The confidence interval method that can be used to test the given claim utilizes a z-score value at role="math" localid="1648623747432" $\frac{\alpha }{2}$the significance level.

Thus, the confidence interval method is not equivalent to the p-value and the critical value methods.