Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 8, Problem 11CQ
To determine
Explain the additional information is necessary to be included in the report and identify such information.
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Students have asked these similar questions
a. State the researcher’s null and alternative hypothesis.
b. At α = 0.01, test your hypothesis. Show all your calculations to receive full credit.
Pew research asked random sample of 1000 US adults whether they supported increased usage of coal to produce energy. They found that 37% did support increase usage of coal.
In this example of a two-sided test for significance, so the hypotheses are:
H0: π = 0.5
Ha: π ≠ 0.5
In this problem, you will explore what changes if we use
π < 0.5 or π > 0.5 as our alternative hypothesis instead.
A. Produce a sampling distribution sketch, shade the area corresponding to the p value if the alternative hypothesis is
π ≠ 0.5, and find the p value.
B. In the second sampling distribution sketch, shade the area corresponding to the p value if the alternative hypothesis is
π < 0.5, and find the p value.
C. In the third sampling distribution sketch, shade the area corresponding to the p value if the alternative hypothesis is
π > 0.5, and find the p value.
NB: The attached image is the original sampling distribution sketch, with the test statistics
A student conducts a hypothesis test at alpha = 0.10. If the P-value is 1.62, which of the following statements is true?
A. The student should reject the null hypothesis.
B. The student should not reject the null hypothesis.
C. The student made a mistake in calculating the P-value.
Chapter 8 Solutions
Essential Statistics
Ch. 8.1 - Check Your Understanding
1. Last year, the mean...Ch. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYUCh. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 9–12, determine whether the statement...
Ch. 8.1 - In Exercises 9–12, determine whether the statement...Ch. 8.1 - In Exercises 9–12, determine whether the statement...Ch. 8.1 - Prob. 13ECh. 8.1 - Practicing the Skills
In Exercises 13–16,...Ch. 8.1 - Prob. 15ECh. 8.1 - Practicing the Skills
In Exercises 13–16,...Ch. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Working with the Concepts
21. Fertilizer: A new...Ch. 8.1 - 22. Big fish: A sample of 100 flounder of a...Ch. 8.1 - Prob. 23ECh. 8.1 - 24. Coffee: The mean caffeine content per cup of...Ch. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - 27. Type I error: A company that manufactures...Ch. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.2 - Prob. 1CYUCh. 8.2 - Prob. 2CYUCh. 8.2 - Prob. 3CYUCh. 8.2 - Prob. 4CYUCh. 8.2 - Prob. 5CYUCh. 8.2 - Prob. 6CYUCh. 8.2 - Prob. 7CYUCh. 8.2 - Prob. 8CYUCh. 8.2 - Prob. 9CYUCh. 8.2 - Prob. 10CYUCh. 8.2 - Prob. 11CYUCh. 8.2 - Prob. 12CYUCh. 8.2 - 13. For each of the following P-values, state...Ch. 8.2 - Prob. 14CYUCh. 8.2 - Prob. 15CYUCh. 8.2 - Prob. 16CYUCh. 8.2 - Prob. 17CYUCh. 8.2 - Prob. 18CYUCh. 8.2 - Prob. 19CYUCh. 8.2 - Prob. 20CYUCh. 8.2 - Prob. 21CYUCh. 8.2 - A certain type of calculator battery has a mean...Ch. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - In Exercises 29–34, determine whether the...Ch. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - Prob. 68ECh. 8.2 - Prob. 69ECh. 8.2 - Prob. 70ECh. 8.2 - Prob. 71ECh. 8.2 - Prob. 72ECh. 8.3 - Prob. 1CYUCh. 8.3 - Prob. 2CYUCh. 8.3 - Prob. 3CYUCh. 8.3 - Prob. 4CYUCh. 8.3 - Prob. 5CYUCh. 8.3 - Prob. 6CYUCh. 8.3 - Prob. 7ECh. 8.3 - In Exercises 7 and 8, fill in each blank with the...Ch. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - How much is in that can? A machine that fills...Ch. 8.3 - Credit card debt: Following arc outstanding credit...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - A Gallup poll taken in December 2009 sampled 1000...Ch. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - In Exercises 7 and 8, determine whether the...Ch. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Interpret calculator display: The following...Ch. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Who will you vote for? A simple random sample of...Ch. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4CYUCh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Mercury pollution: Mercury is a toxic metal that...Ch. 8.5 - Ladies’ shoes: A random sample of 100 pairs of...Ch. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Interpret calculator display: The following TI-84...Ch. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 1WAICh. 8 - What does the P-value represent?
Ch. 8 - Prob. 3WAICh. 8 - Prob. 4WAICh. 8 - Prob. 5WAICh. 8 - Prob. 1CSCh. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Prob. 5CSCh. 8 - Prob. 6CSCh. 8 - Prob. 7CS
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- The results of a hypothesis test are reported as follows: t(15) = 2.70, p <.05. Based on this report, how many individuals were in the sample? Question 9 options: 14 15 16 Cannot be determined from the information providedarrow_forwardPLEASE HELP WITH THE PROBLEM BELOW Let pm and pf be the respective proportions of male and female white-crowned sparrows that return to their hatching site. We observed that 124 out of 894 males and 70 out of 700 females returned. Does your result agree that there is no difference between the proportions of male and female white-crowned sparrows that return to their hatching site with α = 0.05? Formulate the hypotheses Finish the hypothesis testing and draw your conclusion (use p-value to test the hypotheses)arrow_forwardSuppose that we reject a null hypothesis at the 0.02 level of significance. The null hypothesis will definitely also be rejected for all the following α-values except for: A. 0.01B. 0.2C. 0.1D. 0.4E. 0.03arrow_forward
- Guilty or Innocent? In the U.S. court system, a defendant is assumed innocent until proven guilty. Suppose that you regard a court trial as a hypothesis test with null and alternative hypotheses H0: Defendant is innocent Ha: Defendant is guilty. a. Explain the meaning of a Type I error. b. Explain the meaning of a Type II error. c. If you were the defendant, would you want α to be large or small? Explain your answer. d. If you were the prosecuting attorney, would you want β to be large or small? Explain your answer. e. What are the consequences to the court system if you make α = 0? β = 0?arrow_forwardA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. H: 0 OSO D=0arrow_forwardConsider the following hypothesis test. H0: μ = 100 Ha: μ ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) x = 103 and s = 11.5arrow_forward
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