If the z-value is within the critical region, what should be done with the hypothesis?
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A: The critical region, also known as the rejection region, is a set of values for the test statistic…
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- You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 10, you determine that r = 0.80. a) What is the value of the t test statistic t STAT ? b) At the a = 0.05 level of significance, what are the critical values? c) Based on your answers to (a) and (b), what statistical decision should you make?then If the value of test statistic for a hypothesis test fall into the critical region for some a level A. p-value a C. p-value Za/2 A null hypothesis was rejected at level = 0.05. Using the same data, what will be the result of the test at level a = 0.10? A. Reject Ho B. Fail to reject Ho C. No conclusion can be madeResearchers were interested in the effects of color on reducing test anxiety. They predicted that participants would report less test anxiety when a test was printed on pale blue paper comparod to white paper. Sixtoon participants were randomly assigned to take a memory test in one of the two paper color conditions. All participants took the tast at the same time. However, each was seated in a small private cubicle and could not see other participant's tests. The first question on the test asked them to indicate their Jovel of anxiety before starting the exam on a scale of 1 (not anxious) to 9 (very anxious). Data for this hypothetical study are shown below Use the following data to conduct the correct statistical test at the 05 levet. Color of Test Paper Pale Blue White 2 8. 2 2 Module 5: t-test 2 6 3 8 9. 4 3. 8. 1 8 2 7, 2. 3.
- Forty-two percent of people believe that there is life on other planets. A scientist does not agree with this finding. He surveyed 110 randomly selected individuals and found 44 believed that there is life on other planets. At (alpha) = 0.05, is there sufficient evidence to conclude that the percentage differs from 42%? Use the critical value method and tables. A. State the hypotheses and identify the claim with the correct hypothesis. B. Find the critical value(s). C. Compute the test value. D. Make the decision. E. Summarize the results.Calculate the X² statistic then compare it with the critical value to determine if we will reject or fail to reject the null hypothesis that "There is no difference in the proportion of students that choose STEM, Social Sciences and Liberal Arts"Dr. Castillejo feels that the maximum pulse rate (from 152 bpm to 196 bpm) during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, Give the expected oxygen consumption if the maximum pulse rate is 160 bpm
- A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than the families in Metropolis have. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes as follow. What is the critical value(s) of the relevant hypothesis test if the level of significance is 0.01? Gotham Metropolis Xc = 35 months s = 900 XM = 50 months s = 1050 O t-Z = - 1.96 O t-Z =- + 1.96 O t-Z= - 2.080 O t-Z =- 2.33 Other:Assume that we estimate a model and that we're holding other things constant in a hypothesis test about a single parameter in that model. If the degrees of freedom are higher, the critical value(s) of the t-distribution under the null (Used to determine the rejection region(s) for the test)will be? (A) Unchanged (B) Lower in magnitude (C) Greater in magnitudeAn inventor, working at a science tech lab, believes innovations in satellites are increasing. The inventor would like to test the claim that the average number of new ideas for satellite development per month at the science tech lab is over 60 new ideas. Using the computed test statistic of 1.05 and the critical value of 1.28, is there enough evidence for the inventor to reject the null hypothesis? Use the graph below to interpret the critical value. First select the appropriate test type (left-, right-, or two- tailed), then plot the points along the x-axis (for the critical value and test statistic), and use them to choose the appropriate interpretation.
- It says Ho: μ<2 is wrong and 0.199 is wrong.a=0.01, z=2.79. h a: u1>u2 What is the critical Z Value? What is the decision making for this hypothesis test? A is the positive critical value for this question, what is/are the possible critical region(s) for this hypothesis test?Based on a sample of n=15, the least-squares method was used to develop the prediction line Yi=6+2Xi. In addition, SYX=1.5, X=3 and ∑i=1nXi−X2=15. Complete parts (a) and (b) below. Click here to view page 1 of the table of the critical values of t. LOADING... Click here to view page 2 of the table of the critical values of t. LOADING... a. Construct a 90% confidence interval estimate of the population mean response for X=2. enter your response here≤μY|X=2≤enter your response here (Round to two decimal places as needed.) b. Construct a 90% prediction interval of an individual response for X=2. enter your response here≤YX=2≤enter your response here (Round to two decimal places as needed.)
