Determine (a) the x² test statistic, (b) the degrees of freedom, (c) the critical value using a = 0.05, and (d) test the hypothesis at the x = 0.05 level of significance. 1 Ho: PA = PB = Pc =PD = 4 (a) The test statistic is | |. Outcome Observed A B C D 57 53 45 45 Expected 50 50 50 50
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- Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…The test statistic is z = 0.86, the critical value is z = 1.645. This is a________.Select one:a. Left tail testb. A and Bc. Right tail testd. Two tail testAlso need to Find the critical value(s) assuming that the population variances are not equal.
- Calcium is essential to tree growth. In 1990, the concentration of calcium in precipitation in Chautauqua, New York, was mg 0.11 milligram per liter . A random sample of 8 precipitation dates in 2018 results in the following data: L 0.234 0.065 0.262 0.120 What are the null and alternative hypotheses? Ho: H₁: (Type integers or decimals. Do not round.) Find the test statistic. 0.108 to = (Round to two decimal places as needed.) Find the P-value. 0.070 A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot does not show any outliers. Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the a = 0.05 level of significance. ... 0.183 0.313 C P-value= (Round to three decimal places as needed.) Is there sufficient evidence that calcium concentrations have changed since 1990? Since P-value α, the null hypothesis and conclude that there calcium level in rainwater has changed. sufficient evidence that…Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ≠5000; α=0.08; σ=393. Sample statistics: x=5400, n=37 Calculate the standardized test statistic. _____? The standardized test statistic is _____? .(Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical value is _____? . B. The critical values are ± _____? Determine the outcome and conclusion of the test. Choose from the following. A.Reject H0. At the 8% significance level, there is enough evidence to reject the claim. B.Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. C.Reject H0. At the 8% significance level, there is enough evidence to support the claim. D. Fail to reject H0. At the 8% significance…Which of the following values results from the use of a statistical test? 1. The critical value 2. The obtained value 3. Type I error 4. Type II error
- Choose the correct answerC Find the critical z value using a significance level of a = 0.07 if the alternative hypothesis Ho is u < 68.Use the sample of the greenhouse gas emissions of 32 different cars. (The amounts are in tons per year, expressed as CO2 equivalents.) Use a 0.05 significance level to test the claim that all cars have a mean greenhouse gas emission of 8.00 tons. Find the statistic, p-value and the critical value (or values). (I can ask for the satistic ,p value and critical value separately if needed) Data: Car GHG Acura RL 8.7 Acura TSX 7.2 Audi A6 7.7 BMW 525i 7.7 Buick LaCrosse 7.9 Cadillac STS 8.7 Chevrolet Impala 8.2 Chevrolet Malibu 6.8 Chrysler 300 9.3 Dodge Charger 9.3 Dodge Stratus 7.4 Ford Crown Victoria 9.3 Ford Focus 6.5 Honda Accord 6.6 Hyundai Elantra 6.7 Infiniti M35 9 Jaguar XJ8 8.6 Kia Amanti 9.3 Kia Spectra 6.5 Lexus GS300 7.4 Lexus LS 8.7 Lincoln Town Car 9.3 Mazda 3 6.5 Mercedes-Benz E 7 Mercury Grand Marquis 9.3 Nissan Altima 7.1 Pontiac G6 7.2 Saturn Ion 6.7 Toyota Avalon 7.2 Toyota Corolla 5.5 Volkswagon Passat…
- Examine the relationship between these variables by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05. State the null and research hypotheses: H0: H1: What is the obtained chi-square value? What is the significance level (p-value) for the obtained chi-square? Should we reject or fail to reject the null hypothesis? Is there a statistically significant relationship between these variables? Which measure of association would be most appropriate for these variables? What is the value of the measure of association? Interpret your findings by explaining in full sentences whether there is a statistically significant relationship or not and the strength of the relationship. Also explain any patterns you see in the percentages:As a bonus assignment a former student checked if your professor gave a statistically significant difference in grades between his male and female students. She based her study based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317) and her sample included nm = 485 male students and nf = 264 female students. The average grades received were ?̅ = 84.6 and ?̅ = 85.8. The population standard ?? deviation were σ m = 12.0 and σ f = 11.4. Test the hypothesis that the two groups received different grades using a 95% confidence level and using the critical value approachA sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, µ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 7.1 S = 2.3 n = 18 a = 0.01 Ho: µ = 10 %3D H1: μ< 10 1. The test statistics is (Round to three decimal places) 2. The critical value(s) is/are (If there are two critical values separate each with a comma.) 3. The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject) ASUS VivoBook