We are testing a null hypothesis Ho:H1=H2 against an alternative hypothesis H1:H1 + H2 with a =.05. We take a sample of 14 from population 1, and a sample of 15 from population 2. Find the critical value(s) of this test. O +1.771 O +1.761 O +2.160 O +1.703
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From the provided information,
Sample size (n1) = 14 and n2 = 15
Level of significance (α) = 0.05
The test is two tailed.
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- Only numbers 3 and 4You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 62% at a level of significance of a = 0.01. According to your sample, 62 out of 93 potential voters prefer the Democratic candidate. a. For this study, we should use z-test for a population proportion OF b. The null and alternative hypotheses would be: Ho: (p enter a decimal) OF H₁: p enter a decimal) 0° OF c. The test statistic (zŵ) = your answer to 3 decimal places.) d. The p-value = to 4 decimal places.) e. The p-value is a (please (Please (please show f. Based on this, we should (fail to reject î hypothesis. (Please show your answer the null60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 130 of the 241 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho:1?v Но: 7Select an answer v (please enter a decimal) H1:1?v|Select an answer v (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusiion is that .. The data suggest the population proportion is not significantly smaller than 60% at a = 0.01, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received…
- 10% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 302 people from the inner city surveyed, 36 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 10% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 10%. The data suggest the population proportion is not…You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency SquaredPearsonResidual A 6 B 9 C 25 D 11 E 12 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.)χ2= What are the degrees of freedom for this test?d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = It may be best to use the =CHIDIST() function in Excel to do this calculation.The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null accept the alternative As such, the…If, in a sample of n = 25 selected from a normal population, X = 57 and S= 10, what is the value of tSTAT if you are testing the null hypothesis Ho: μ = 50? tSTAT = (Type an integer or a decimal.)
- If, in a sample of n = 16 selected from a normal population, X= 51 and S = 8, what is the value of tSTAT if you are testing the null hypothesis Ho: µ= 50? tSTAT = (Type an integer or a decimal.)Suppose you want to test the claim that 480% of all supermarket prices end in a 9 or a 5. Suppose you check a random sample of 113 items and find that 84 have prices that end in a 9 or 5. Does that indicate that fewer than 80% of the prices end in a 9 or a 5? Use alpha=0.05 State the null and alternet hypotheses.Suppose a group of 900900 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 356356 patients who received the antidepressant drug, 113113 were not smoking one year later. Of the 544544 patients who received the placebo, 203203 were not smoking one year later. Given the null hypothesis ?0:(?1−?2)=0H0:(p1−p2)=0 and the alternative hypothesis ??:(?1−?2)≠0H, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.01(a) The rejection region is |?|>(b) The test statistic is ?=zThe final conclustion isYou are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = 0.62 O O H₁: pv # OF c. The test statistic z O O 0.62 ✓(please enter a decimal) f. Based on this, we should reject g. Thus, the final conclusion is that (Please enter a decimal) = -1.165 (please show your answer to 3 decimal places.) d. The p-value = 0.1248 x (Please show your answer to 4 decimal places.) e. The p-value is > ✓ a 1x the null hypothesis. O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 62% the population proportion is…A 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 OSEE MORE QUESTIONSRecommended textbooks for youMATLAB: 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 LearningElementary 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. FreemanMATLAB: 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 LearningElementary 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