ELEMENTARY STATISTICS(LL)(FD)
3rd Edition
ISBN: 9781260707458
Author: Navidi
Publisher: MCGRAW-HILL CUSTOM PUBLISHING
expand_more
expand_more
format_list_bulleted
Question
Chapter 13.1, Problem 14E
To determine
Toexplain:Test for the null hypothesis
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A researcher selected a sample of 268 former student athletes from a list of graduates of a large university. A total of 14% of the sample of athletes had earned graduate degrees as compared to 17% of all graduates. Is the difference statistically significant? Use α=.01. Be sure to use the five-step model in conducting the hypothesis test.
Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%?x y x2 y2 xy
2.3% 60 - 120 7.6%
0.1% 80
A research report includes the statement, “ z = 1.18, p > .05.” What happened in the hypothesis test?
The obtained sample mean was very likely if the null hypothesis is true, so H0 was rejected.
The obtained sample mean was very unlikely if the null hypothesis is true, and the test failed to reject H0.
The obtained sample mean was very unlikely if the null hypothesis is true, so H0 was rejected.
The obtained sample mean was very likely if the null hypothesis is true, and the test failed to reject H0.
Chapter 13 Solutions
ELEMENTARY STATISTICS(LL)(FD)
Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - In Exercises 9 and 10, determine whether the...Ch. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16E
Ch. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 26aECh. 13.1 - Calculator display: The following TI-84 Plus...Ch. 13.1 - Prob. 28aECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Confidence interval for the conditional mean: In...Ch. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Dry up: Use the data in Exercise 26 in Section...Ch. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - In Exercises 9 and 10, determine whether the...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - For the following data set: Construct the multiple...Ch. 13.3 - Engine emissions: In a laboratory test of a new...Ch. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13 - A confidence interval for 1 is to be constructed...Ch. 13 - A confidence interval for a mean response and a...Ch. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Construct a 95% confidence interval for 1.Ch. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - Prob. 12CQCh. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Air pollution: Following are measurements of...Ch. 13 - Icy lakes: Following are data on maximum ice...Ch. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 1WAICh. 13 - Prob. 2WAICh. 13 - Prob. 1CSCh. 13 - Prob. 2CSCh. 13 - Prob. 3CSCh. 13 - Prob. 4CSCh. 13 - Prob. 5CSCh. 13 - Prob. 6CSCh. 13 - Prob. 7CS
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- A recent drug survey showed an increase in use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 62 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (Round your answer to two decimal places.)arrow_forwardA company has just developed a new antibiotic. 2 percent of children taking competing antibiotics experience a headache as a side effect. A researcher believes that the proportion of children taking the new antibiotic who experience a headache as a side effect is more than 0.02. We know that the null hypothesis is H0 : p = 0.02 and the alternative hypothesis is H1 : p > 0.02. Suppose that the sample evidence indicates thata. the null hypothesis is rejected. State the conclusion.b. the null hypothesis is not rejected. State the conclusion.arrow_forwardYou wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (H.:p7 0). а You have a data set with 5 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of a = 0.05. Find the critical value for this test. rc.v. Report answers accurate to three decimal places.arrow_forward
- Of a random sample of 172 elementary school educators, 118 said that parental support was the most important source of a child’s success. Test the hypothesis that parental support is the most important source of a child’s success for at least 75% of elementary school educators against the alternative that the population percentage is less than 75%. Use α = 0.05.arrow_forwardAccording to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. Do these data provide convincing statistical evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97? Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .arrow_forward9. Regression of y= Bo + B1X11 + B2X12 + B3 X13 + BaX14 + û¡ yields the following results in tabular form. The tabulated t- statistics is 2.4 , 1.96 and 1.64 for one five and ten percent significance levels respectively. State the null and alternative hypotheses for each & Identify those variables affecting the dependent variable. Independent variables Coefficients Std. Err. Xi1 1731.784 255.4491 Xi2 667.8642 250.4062 Xi3 -38.44927 200.0217 Xi4 -48.14751 423.5669 Bo 3559.713 243.1407arrow_forward
- A recent drug survey showed an increase in use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 68 seniors reported using drugs or alcohol within the past month, while 64 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the p-value? (Round your answer to four decimal places.)arrow_forwardA popular musician believes an increase in the number of times songs are listened to via a streaming service leads to an increase in recording sales. The musician’s recording company selected 50 songs at random and used the data to test the claim that there is a positive linear relationship between the number of times a song is listened to and recording sales. The following hypotheses were used to test the claim. H0:β1=0 Ha:β1>0 The test yielded a t-value of 1.592 with a corresponding p-value of 0.059. Which of the following is the correct interpretation of the p-value? A. If the alternative hypothesis is true, the probability of observing a test statistic of 1.592 or smaller is 0.059. B. If the alternative hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059. C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059. D. If the null hypothesis is true, the probability of observing a…arrow_forwardA recent drug survey showed an increase in use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 68 seniors reported using drugs or alcohol within the past month, while 63 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Round your answers to four decimal places.)arrow_forward
- An analyst believes that the only important determinant of banks’ returns on assets (Y) is the ratio of loans to deposits (X). For a random sample of 20 banks, the sample regression line y = 0.97 + 0.47x was obtained with coefficient of determination 0.720. a. Find the sample correlation between returns on assets and the ratio of loans to deposits. b. Test against a two-sided alternative at the 5% significance level the null hypothesis of no linear association between the returns and the ratio.arrow_forward29) Two variables are measured on a random sample of n = 23. The sample data results ina sample correlation of 0.393. If you fit a simple regression model to the data, whatvalue would the coefficient of determination (or R-squared) take on?A) 0.627B) 0.393C) 0.154D) 0.000E) 0.296arrow_forwardA test of Ho: p = 0.5 versus Ha: p > 0.5 has a test statistic of z = 2.19. What is the P-value for the test? If the alternative hypothesis were Ha: p ≠≠0.5, what would be the value of the P-value?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Type I and II Errors, Power, Effect Size, Significance and Power Analysis in Quantitative Research; Author: NurseKillam;https://www.youtube.com/watch?v=OWn3Ko1WYTA;License: Standard YouTube License, CC-BY