identify The research hypothesis H1 The null hypothesis HO The rejection region of the null hypothesis
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- 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…(a) State H 0 and H a identify the claim. (b) Determine the critical value, X^2 0, and the rejection region. (c) Calculate the test statistic.Z= 6.35 Determine the critical value (z) of the rejection region, assuming a 5% level of significance
- Determine the critical value of χ2 with 1 degree of freedom for α=0.005. The critical value of χ2 is _____A research center claims that at least 27% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 24% say they are concerned that their taxes will be audited. At α=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Find the critical value(s) and identify the rejection region(s). Z0=_________ (b) Identify the critical value(s) for this test ________ A.) The rejection regions are z < ___and z > ____ B.) The rejection region is z > _______ C.) The rejection region is _____< z < _____ D.) The rejection region is z < _____ (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.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.)
- Calculate SSb and SSw Calculate dfb and dfw Calculate MSb and MSw Calculate F Identify the critical F-value, compare it to F-observed, and state whether you should accept or reject the null hypothesis.A research center claims that at least 44% of adults in a certain country think the government is not aggressive enough in pursuing people who cheat on their taxes. In a random sample of 700 adults from that country, 38% say that the government is not aggressive enough in pursuing people who cheat on their taxes. At α=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are z0= _____ (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. z> ____ B. z< ____ C. z<____ and z > ____ (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.)An investor has his savings invested in various investments. The amount at the end of each month, in the first semester, is shown in the table. a. Assuming that the rate of change of the amount can be represented by: y ′ (x) = (0.06y (x)) / x, obtain an approximation for the amount in the month of August, using the Improved Euler method, using h = 1 and initial condition given by the data for the month of June.b. What is the relative percentage error knowing that the particular solution of the PVI is y (x) = e ^ (0.06 lnx + 4.46).