You want to test whether the pH level of the drinking water is 8 using 36 water samples. The corresponding hypotheses are Ho: µ = 8 versus Ha: H # 8. Which of the following possible sample results gives the strongest evidence to reject Ho in favor of Ha? x = 8.2, s = 0.8 x = 7.9, s = 1.1 x = 7.8, s = 0.9 Ox = 8.3, s= 0.75
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- If the test of H0: = 19 against Ha: ≠ 19 based on an SRS of 15 observations from a Normal populationproduces the statistic of t = –1.75. The P-value isAre seatbelts effective at saving lives? We wish to examine whether or not the use of seatbelts reduces fatalities at the alpha = 0.05 level of significance. Let p N represent the proportion of non-seatbelt wearing passengers who were involved in a crash and died and represent the proportion of seatbelt wearing passengers who were involved in a crash and died. 1. Which would be correct hypotheses for this test? H 0 :p N =p Y ,H 1 :p N <p Y O H 0 :p N =p Y ,H 1 :p N ne p Y H 0 :p N =p Y ,H 1 :p N > mathfrak P Y O H 0 :p N ne p Y , H 1 :p N >p Y In a random sample of 335 non-seatbelt wearing passengers involved in a car crash, 34 were killed. In a random sample of 398 seatbelt wearing passengers involved in a car crash , 18 were killed. 2. Find the test statistic (2 decimal places) 3. Give the P-value (4 decimal places) please only answer 2 and 3!In a test of H0: p = .43 versus Ha: p ≠ .43, a sample of size 1500 leads to a p-value of 0.087. Which of the following must be true if a = 0.05? A. The Ho should be rejected at the 5% level B. The Ho should fail to be rejected at the 5% level C. The Ho should be accepted at the 5% level
- The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 4. What is the research hypothesis? a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu) b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu) c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu) d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)In a test of H0 : μ = 5 versus H1 : μ ≠ 5, the sample mean was X¯¯¯ = 4 and the P-value was 0.21. This means that if μ = 5, and the experiment were repeated 100 times, we would expect to obtain a value of X¯¯¯ between 4 and 6 approximately _____ times.
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- Serum nitrite concentrations (in μmol/L) were compared between a group of unmedicated HIV+ subjects (n =7) and a control group (n = 10). The HIV+ distribution is strongly skewed. a) Use a Wilcoxon-Mann-Whitney U test to determine if there is convincing evidence at α = 0.05 thatserum nitrite levels differ between the two populations. b) What would have been the U test p-value if researchers had instead hypothesized that serum nitriteconcentrations would tend to be larger in the HIV+ population?Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.