/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q1 True/False Characterize each of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q1 (page 408)

True/False Characterize each of the following statements as being true or false.

a. In a hypothesis test, a very high P-value indicates strong support of the alternative hypothesis.

b. The Student t distribution can be used to test a claim about a population mean whenever the sample data are randomly selected from a normally distributed population.

c. When using a x2 distribution to test a claim about a population standard deviation, there is a very loose requirement that the sample data are from a population having a normal distribution.

d. When conducting a hypothesis test about the claimed proportion of adults who have current passports, the problems with a convenience sample can be overcome by using a larger sample size.

e. When repeating the same hypothesis test with different random samples of the same size, the conclusions will all be the same.

Short Answer

Expert verified

a. The statement is false.

b. The statement is true.

c. The statement is false.

d. The statement is false.

e. The statement is false.

Step by step solution

01

State the p-value approach in the hypothesis test

a.

The p-value is a probability of getting the values as extreme as the test statistic.

The decision rule is expressed below.

  • If the p-value is lesser than the significance level, the null hypothesis will be rejected.
  • If the p-value is greater than the significance level, the null hypothesis will be failed to be rejected.

Thus, the high p-value will be supportive of the null hypothesis.

Therefore, the statement will be false.

02

State the requirements for the student’s t-distribution test

b.

The requirements for the student鈥檚 t-distribution test for testing the claim of the population mean are stated below.

  • The population is normally distributed, or the sample is larger than 30.
  • The sample is a simple random sample.
  • The population standard deviation is unknown.

Therefore, the statement will be true.

03

State the requirements for the chi-square test for the standard deviation 

c.

The requirements for the chi-square test for the standard deviation are as follows.

  • The population is normally distributed, which is stricter than the other tests.
  • The sample is a simple random sample.

Therefore, the statement is false.

04

State the requirements for the test for proportions

d.

Simple random samples are collected such that each sample is independent of another.

On the other hand, in convenience sampling, the samples are collected as per the convenience of investigators. Thus, the samples are not random selections.

Thus, a larger sample will not solve the problem of applying the test.

Therefore, the statement is false.

05

Analyze the results for the hypothesis test

e.

Different samples of the same sizes are collected for the hypothesis test of the same claim.

Different samples result in varied statistics and hence, varying results of the test statistics and hence, the decision.

Thus, the statement is false.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 13鈥�16, refer to the exercise identified and find the value of the test statistic. (Refer to Table 8-2 on page 362 to select the correct expression for evaluating the test statistic.)

Exercise 6 鈥淐ell Phone鈥�

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.

Smoking Stopped In a program designed to help patients stop smoking, 198 patients were given sustained care, and 82.8% of them were no longer smoking after one month (based on data from 鈥淪ustained Care Intervention and Post discharge Smoking Cessation Among Hospitalized Adults,鈥� by Rigotti et al., Journal of the American Medical Association, Vol. 312, No. 7). Use a 0.01 significance level to test the claim that 80% of patients stop smoking when given sustained care. Does sustained care appear to be effective?

Testing Hypotheses. In Exercises 13鈥�24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

Car Booster Seats The National Highway Traffic Safety Administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

774 649 1210 546 431 612

In Exercises 9鈥�12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

Exercise 8 鈥淧ulse Rates鈥�

Using Technology. In Exercises 5鈥�8, identify the indicated values or interpret the given display. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. Use 伪= 0.05 significance level and answer the following:

a. Is the test two-tailed, left-tailed, or right-tailed?

b. What is the test statistic?

c. What is the P-value?

d. What is the null hypothesis, and what do you conclude about it?

e. What is the final conclusion?

Self-Driving Vehicles In a TE Connectivity survey of 1000 adults, 29% said that they would feel comfortable in a self-driving vehicle. The accompanying StatCrunch display results from testing the claim that more than 1/4 of adults feel comfortable in a self-driving vehicle.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.