7. The correct and incorrect responses to a test question are listed according to major with the sample results given below. At the .05 significance level, test the claim that response and major are independent. Math English Correct Incorrect 53 27 43 37 claim null hypothesis.….. alternative hypothesis... Calculator Screen Name.... test statistic pvalue/alpha comparison.... decision Conclusion
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- What is meant by the sample space of an experiment?Three different brands of automobile batteries, each one having a 42-month warranty, were included in a study of battery lifetime. A random sample of batteries of each brand was selected and lifetime (in months) was determined, resulting in the following data. Brand 1 45 39 52 47 45 41 43 Brand 2 39 44 50 53 48 47 40 Brand 3 50 47 43 48 56 44 48 State and test the appropriate hypotheses using a significance level of 0.05. State the appropriate null and alternative hypotheses. (Let ?1, ?2, and ?3 be the true mean lifetimes for the three brands.) H0 : all three of the ?i's are differentHa : ?1 = ?2 = ?3H0 : ?1 = ?2 = ?3Ha : all three of the ?i's are different H0 : ?1 = ?2 = ?3Ha : at least two of the three ?i's are differentH0 : ?1 ≠ ?2 ≠ ?3Ha : at least two of the three ?i's are the sameH0 : at least two of the three ?i's are differentHa : ?1 = ?2 = ?3 Summarize your calculations in an ANOVA table. (Round your answers to two decimal places.) Source ofVariation df…Determine whether the alternative hypothesis is supported at a 0.05 significance level. would B be correct?
- A city is collecting data on two neighborhoods, one low income and one middle income, to see whether or not their residents would support an increase in local sales tax to pay for more city services. The city wishes to see if there is evidence to show that the first neighborhood (low income) has a lower level of support for the tax compared to the second neighborhood (middle income).You wish to test the following claim (HaHa) at a significance level of α=0.002 Ho:p1=p2 Ha:p1<p2You obtain a sample from the first population with 219 successes and 131 failures. You obtain a sample from the second population with 177 successes and 53 failures.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = 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…Which of the following is the correct option for the appropriate test and degree of freedom (sd) for the hypothesis-based compliance of the data of a 6-category (class) variable, which is summarized by counting 300 pieces of data? Please select one: a. Ki square sd = 299 b. t test sd = 299 c. t test sd 5 d. Ki square sd = 49 e. Ki Square sd = 5Suppose that we are testing a null hypothesis H0 about a populationproportion, using p-value techniques. If we are using a single set of data, which of the following are notpossible? (Select all that apply. You do not need to explain.)(a) We reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(b) We reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level.(c) We fail to reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(d) We fail to reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level
- In a random sample of missions flown by B-17’s, 38 returned and 24 were lost. In a random sample of missions flown by B-29’s, 39 returned and 8 were lost. Use a 0.01 significance level to test the claim that the proportions of losses for B-17’s and B-29’s were equal.A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are in Table below. Using a 5% significance level, test the hypothesis that the three mean commuting mileages are the same. working-class professional (middle incomes) professional (wealthy) 17.8 16.5 8.5 26.7 17.4 6.3 49.4 22.0 4.6 9.4 7.4 12.6 65.4 9.4 11.0 47.1 2.1 28.6 19.5 6.4 15.4 51.2 13.9 9.3For the x and observed significance level (P-Value) pair, indicate whether the bull hypothesis would be rejected.
- To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2.(hint - Proportions 2 sample, two tail test) Speeding Tickets Ticketed Not Ticketed Men 21 173 Women 37 169 Group of answer choices Statistic = -5.03, Accept null hypothesis Statistic = -2.03, Reject null hypothesis Statistic = -3.03, Reject null hypothesis Statistic = -2.03, Accept null hypothesisListed below are six randomly selected heights of women and men from a recent epidemiological study . Men u_{1} Women 160 168 167 153 160 177 190 170180 180 177 179 u_{2} Use a 5% significance level to test the claim that women have heights with a mean that is the same as the mean height of men. If you find evidence that the claim is true, follow up with an appropriate confidence interval and interpretation.A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Number of Cigarettes Smoked per Day 0 1–14 15–34 35 and over Wear Seat Belts 169 29 39 10 Don't Wear Seat Belts 153 24 34 11 a) determine the null and alternative hypothesis. b) what is the test statistic? c) whst is the P-value? d) use a significance level of 0.05 to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this…