Chapter 8: Q. 7 (page 392)
Explain the meaning of each term.
a. rejection region b. nonrejection region
c. critical value(s)
Short Answer
We have explained the meaning of each term in the solution.
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Chapter 8: Q. 7 (page 392)
Explain the meaning of each term.
a. rejection region b. nonrejection region
c. critical value(s)
We have explained the meaning of each term in the solution.
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Final Conclusions. In Exercises 25鈥28, use a significance level of = 0.05 and use the given information for the following:
a. State a conclusion about the null hypothesis. (Reject or fail to reject .)
b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.
Original claim: The standard deviation of pulse rates of adult males is more than 11 bpm. The hypothesis test results in a P-value of 0.3045.
Using Confidence Intervals to Test Hypotheseswhen analyzing the last digits of telephone numbers in Port Jefferson, it is found that among 1000 randomly selected digits, 119 are zeros. If the digits are randomly selected, the proportion of zeros should be 0.1.
a.Use the critical value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.
b.Use the P-value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.
c.Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. What does the confidence interval suggest about the claim that the proportion of zeros equals 0.1?
d.Compare the results from the critical value method, the P-value method, and the confidence interval method. Do they all lead to the same conclusion?
In Exercises 1鈥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: 鈥淪hould Americans replace passwords with biometric security (fingerprints, etc)?鈥 Among the respondents, 53% said 鈥測es.鈥 We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Null and Alternative Hypotheses Identify the null hypothesis and alternative hypothesis.
Identifying and . In Exercises 5鈥8, do the following:
a. Express the original claim in symbolic form.
b. Identify the null and alternative hypotheses.
Cell Phone Claim: Fewer than 95% of adults have a cell phone. In a Marist poll of 1128 adults, 87% said that they have a cell phone.
In Exercises 1鈥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: 鈥淪hould Americans replace passwords with biometric security (fingerprints, etc)?鈥 Among the respondents, 53% said 鈥測es.鈥 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?
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