91影视

Final Conclusions. In Exercises 25鈥�28, use a significance level of \(\alpha \) = 0.05 and use the given information for the following:

a. State a conclusion about the null hypothesis. (Reject \({H_0}\) or fail to reject \({H_0}\).)

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.

Type I and Type II Errors. In Exercises 29鈥�32, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.).

The proportion of people who write with their left hand is equal to 0.1.

Hypothesis Test with Known $蟽$ How do the results from Exercise 13 鈥淐ourse Evaluations鈥� change if $蟽$is known to be 0.53? Does the knowledge of $蟽$ have much of an effect?

Testing Claims About Proportions. In Exercises 9鈥�32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

Is Nessie Real? This question was posted on the America Online website: Do you believe the Loch Ness monster exists? Among 21,346 responses, 64% were 鈥測es.鈥� Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond?

Problems $29-38$each include a normal probability plot and either a frequency histogram or a stem-and-leaf diagram for a set of sample data. The intent is to use the sample data to perform a hypothesis test for the mean of the population from which the data were obtained. In each case, consult the graphs provided to decide whether to use the $z-$test, the $t-$test, or neither: Explain your answer.

29. The normal probability plot and histogram of the data are depicted in Fig. $9.23$; $蟽$is known.

Hypothesis Test with Known\(\sigma \)How do the results from Exercise 13 鈥淐ourse Evaluations鈥� change if\(\sigma \)is known to be 0.53? Does the knowledge of\(\sigma \)have much of an effect?

Type I and Type II Errors. In Exercises 29鈥�32, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.).

The proportion of people who write with their left hand is equal to 0.1.

Testing Claims About Proportions. In Exercises 9鈥�32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

Is Nessie Real? This question was posted on the America Online website: Do you believe the Loch Ness monster exists? Among 21,346 responses, 64% were 鈥測es.鈥� Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond?

df If we are using the sample data from Exercise 1 for a t-test of the claim that the population mean is greater than 90sec, What does df denote, and what is its value?

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.