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- a)What is tcrit for a two sample, one tailed t-test, with n=22, n= 14 and α=0.05? b)What is tcrit for a two sample, two tailed t-test, with n=10, n= 18 and α=0.01?20. Only about 10% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 372 millionaires surveyed, 30 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0: (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 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 10% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. The data suggest the populaton proportion is significantly lower than 10% at αα = 0.05, so there is statistically significant…After conducting an ANOVA, you end up with the following results: F(2, 27) = 8.80, p < .05. How many groups were included in your analysis? Enter your answer as a whole number with no decimal places (i.e., 10, not 10.01, not 10.1, not 10.001).
- 10.STATISTICAL INFERENCEQuesdtion 3 d8. A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 95% of patients taking the drug are healed within 8 weeks. In clinical trials, 216 of 225 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the a = 0.1 level of significance. Because npo (1- Po) (1) 10, the sample size is (2) 5% of the %D population size, and the sample (3) satisfied. the requirements for testing the hypothesis (4) (Round to one decimal place as needed.) What are the null and alternative hypotheses? Но: (5) (6) versus H1: (7) (8) (Type integers or decimals. Do not round.) Find the test statistic, zo. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject the null hypothesis. There is sufficient evidence to conclude more than 95%…Suppose we want to test the null hypothesis H0 : p1 − p2 = 0.2 against the alternative hypothesis Ha : p1 − p2 < 0.2 at the 5% level of significance. Suppose also that x1 = 80, n1 = 100, x2 = 40, n2 = 80. What is the observed test statistic for this test?
- 25. An experimenter has prepared a drug that he claims has side effects in 25% or less of those people taking it (considerably less than the current medication). In an attempt to verify the claim, his prescribed drug was administered to 24 patients & Y, the # of patients having side effects by the drug, was observed. If at most 9 patients have side effects with this drug the claim is accepted (as valid). Find P (Type II Error) when p = 0.75 0.000112 0.000523 O 0.595599 None of the other answers are correct. O 0.999888 O 0.999477a) What is Fcrit for a one way ANOVA with 5 treatments and 6 replicates per treatment at α=0.05? b)What is Fcrit for a one way ANOVA with 3 treatments and 5 replicates per treatment at α=0.01?An SRS of 190 flights of a large airline (call this airline 1) showed that 160 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 172 were on time. Let p1 and P2 be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.02. (a) What are the null and alternative hypotheses? Но: р < : 0.0 На р 0.0 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, fail to reject + the null hypothesis.
- 3. Let X, X2, .. X5, be a random sample from a population having mean u and variance o?, and let ô, =(x, + X, + X, + X,) and ô, =(2x, + X, + X, - X,) be two estimates of u. * Which of these two estimators is unbiased? * Which is the better estimator, and why? %3D3.) In a particular epidemic disease, 400 individuals were surveyed by a well-established pharmaceutical company to determine if the company’s new vaccine was effective after 4 months. Among the 120 individuals who had that disease and were given the shot, 29 were cured and achieved immunity after 4 months. Among 280 individuals who had the disease but were not given the shot, 56 were cured and achieved immunity after 4 months. Is there enough statistical evidence to support the company’s claim of the effectiveness of the vaccine?Could also you please show how to find Critial Values, Test Statisitc T, and the P value using a Calculator (TI 84) and whether it reject or fail to reject based on the evidence.
