A humane society claims that less than 68% of households in a certain country own a pet. In a random sample of 400 households in that country, 264 say they own a pet. At α=0.05, is there enough evidence to support the society's claim? Complete parts (a) through (d) below.
(a) Identify the claim and state H0 and Ha.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.)
A. ______% of households in the country own a pet.
B. More than ______% of households in the country own a pet.
C. The percentage of households in the country that own a pet is not ______%.
D. Less than ______% of households in the country own a pet.
(b) Use technology to find the P-value.
P = _______.
(c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps
- A medical journal published new medical research about diastolic blood pressure. Let the mean diastolic blood pressure reading be u mmHg. If a doctor wants to know if the new medical research discussed in the journal results in diastolic blood pressure readings that are, on average, less than 75 mmHg, what are the null and alternative hypotheses? Select the correct answer below: Ho: µ = 75; Ha:H 75 %3D O Ho: µ = 75; Ha: µ + 75arrow_forwardA new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.arrow_forwardA researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df = 30, how many individuals were in the sample?arrow_forward
- A law enforcement agent believes that 80% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. Suspecting that the proportion under the influence may be higher than 80%, a SRS of 140 drivers who were stopped for speeding on a Saturday night was taken. 119 of the drivers in the sample were under the influence of alcohol. The correct set of hypotheses is Group of answer choices Ho: p = 0.80 vs Ha: p = 0.85 Ho: p = 0.80 vs Ha: p > 0.80arrow_forwardAn independent measure research study compares three treatment conditions using a sample of n=5, in each treatment. For this study the samples have SS1= 20, SS2= 30, SS= 40. What value would be obtained for MS within?arrow_forwardNormally only about 19% of people who try to quit smoking succeed, but sellers of a motivational tape claim that listening to their recorded messages can help people quit (i.e., more than 19% of the people who use the tapes will successfully quit). Let p represents the percentage of people who have listened to the recorded messages and have successfully quit. Match the appropriate null and alternative hypotheses, based on the sellers' claim. H,: p = 0.19 p> 0.19 p2 0.19 ps 0.19 p 0.19 p2 0.19 ps 0.19 p < 0.19 Op- 0.19 Do you consider a Type I or Type Il error a more serious mistake here? Why? Your answer should make it clear what Type I and Il errors are in this context.arrow_forward
- A weight-lifting coach claims that weight-lifters can increase their strength by taking vitamin E. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. Thirty days later, after regular training supplemented by vitamin E, they are tested again. The results are listed below. Use the Wilcoxon signed-rank test to test the claim that the vitamin E supplement is effective in increasing athletes' strength. Use α = 0.05.arrow_forwardSolve barrow_forwardA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. 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 Oarrow_forwardarrow_back_iosarrow_forward_ios
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman