0.65 Determine of the X² test Statistic (b) the degrees d) test the hypothesis at the at = 0.05 level of significance of Freedom (c) the critical value usity and H₂ = PA = PB =PL = PD, = 4 H₁: At least one of the proportions is different from the others. A B с 39 42 что чо 91 40 Outcome Observed 38 Expected yo a) The test Statistic is
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- 1.Test the hypothesis that β2=0 against the hypothesis that β2<0 at α=0.01. Assuming a standard error of 0.063935 the test statistic is and the critical value is?2.The above suggests that the null hypothesis... A. is not rejected. B. is rejected3.Conduct a t-test at the .01 level. What is the critical value? (A) 1.645 for a one-tailed test (B) -1.645 for a one-tailed test (C) 1.960 for a one-tailed test (D) -1.960 for a one-tailed test (E) 2.326 for a one-tailed test (F) -2.326 for a one-tailed test (G) 2.576 for a one-tailed test (H) -2.576 for a one-tailed test (I) 1.645 and -1.645 for a two-tailed test (J) 1.960 and -1.960 for a two-tailed test (K) 2.576 and -2.576 for a two-tailed test10. Determine the F statistics (write the result in X.XX) 11. Determine the critical value, F for alpha of .05 (write the result in X.XX) 12. Conclude and discuss the result
- Determine the critical value of χ2 with 1 degree of freedom for α=0.01. The critical value of χ2 is _________.(Round to three decimal places as needed.)H0 : ρ =0 H1 : ρ > 0 rn α =0.529=15=0.05 a. Calculate the test statistic. t= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. = Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to RejectA consumer goods company is developing a new shampoo and is interested in foam height (in millimeters). Foam height is regularly distributed, with a standard variation of 18 millimeters and a sample mean of 190 millimeters. Using 40 samples, the maker aims to test the hypothesis that the population mean is bigger than 180 millimeters. Use an alpha of 0.05. a. The critical value is Z b. The test statistic is Z c. Decision is to ___ the null hypothesis (accept or reject)
- Determine the critical value of χ2 with 1 degree of freedom for α=0.005. The critical value of χ2 is _____Tests the claim that p1>p2. Assume the samples are random and independent.x1=55 ; x2=24n1=99 ; n2=100 1.) At α=0.011 , Use the distribution table to find the critical values for the rejection regionZc=Consider the null hypotheses for the following multinomial experiments. (Give your answers correct to two decimal places.) (a) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = P(2) = P(3) = P(4) = 0.25, with a = 0.1.x2 (b) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = 0.25, P(2) = 0.40, P(3) = 0.35, with a = 0.1.x2
- A researcher is interested in testing whether annual house hold income in Philadelphia is normal. So she took a sample of 50 house holds and found that skewness (s)= 2.3190 and Kurtosis (k) = 6.7322. Use the Jarque- Bera Test to test , at alpha 0.05, whether income follows normal distribution. -Yes, population is normal because Chi-Square test is higher than critical value. -Yes, population is normal because Chi-Square test is less than critical value. -No, population is not normal because Chi-Square test is higher than critical value. -No, population is not normal because Chi-Square test is less than critical value.Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 1 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 2 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 3 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 4 5 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 5 6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 6 7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 7 8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 8 9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 9 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 10 11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757 11 12 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.299 12 13 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736…alpha = 0.05 level, Compute the test statistics: alpha = 0.05 level, determine the appropriate technique (test): alpha = 0.05 level, determine the critical value: alpha = 0.05 level, what is the decision? (reject Ho or do not reject Ho)
