Calculate the test statistic (t-statistic) for the hypothesis that B3 = 0.
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- A random sample of 61 produced the summary statistics x 0.373 and s = 0.054. Complete parts a and b. ..... a. Test the null hypothesis that u =0.42 against the alternative hypothesis that u<0.42, using a = 0.10. What is the value of the test statistic? z= - 1.58 (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed,)a) Compute the least-squares line for predicting y from 1/x. Round the answers to three decimal places. b) Using the better fitting line, find a 95% confidence interval for the mean value of y when x = 5.0. Round the answers to three decimal places. The 95% confidence interval for the mean value of y when x = 5.0 is?Don't know how to solve
- "You run a regression with 9 variables on Y with 40 observations. A t-stat of one of the variables come up as 2.115 for a null hypothesis. At the 95% confidence level, you would" A reject the null hypothesis in favor of the alternative since t is greater than the critical value. B reject the null hypothesis in favor of the alternative since t is less than the critical value. fail to reject the null hypothesis since t is less than the critical value. D fail to reject the null hypothesis since t is greater than the critical value.Find the p-value for a left-tailed hypothesis test with a test statistic of z= -1.25A researcher conducts a repeated measures study to evaluate the efficacy of therapy in increasing positive coping skills. The researcher examines positive coping skills before and after therapy with a sample of n = 6 participants. Their scores revealed an average improvement of MD = 15 points. The variance of the difference scores is s2 = 137.09. Are the results sufficient to conclude that there’s a significant difference in positive coping skills before and after therapy? Conduct a hypothesis test, including all steps.
- The CEO of a popular company claims that the mean response time for customer service calls is 9 minutes. A group of recent customers believes that the mean response time is actually slower than that, meaning it takes more than 9 minutes. The customers wish to conduct a hypothesis test at the a = 0.05 level of significance to determine if their claim that it is slower is correct. Which would be correct hypotheses for such a test? Ho:u = 9, Hị: µ > 9 Ho:4 + 9, Hị: µ = 9 %3D OHo:H < 9, Hị :H = 9 ΘΗ :μ = 9, Η :μ <9 ΘΗ:μ = 9, Η :μέ9 What does the P-value measure? O The power of mind of the statistician who performed the statistical experiment O The probability that the alternate hypothesis is true The probability that the results of a statistical experiment are due only to chance O The probability that the results of an statistical experiment are due to something more significant than chance If the resulting P-value is 0.065, which would be the appropriate conclusion? There is significant…A researcher is testing a hypothesis of a single mean. The critical t value for a = .05 and a one-tailed test is 2.0639. The observed t value from sample data is 1.742. The decision made by the researcher based on this information is to the null hypothesis. reject not reject redefine change the alternate hypothesis into restateAfter running a regression you conduct a hypothesis test of Ho: ß = 2.5 versus Hạ: B + 2.5 is performed using a = 0.10. The value of the test statistic z = -1.80 (the critical value is -1.645). If the true value of B is 2.5, does the conclusion you reach result in Type I, Type II error, or the correct decision? O Type II Error O Type I Error O correct decision not enough information
- In a left-tailed hypothesis for a population mean where the population standard deviation is unknown, the test statistic for a random sample size 18 was calculated to be -4.0545. Determine the P-value for the test. XPreviously, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 140 pregnant mothers and finds that 2 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? = 0.04 versus H4: p < 0.04 (Type integers or decimals. Do not round.) Ho: P Because npo (1-Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)A study tested the claim that heights of Americans and heights of Austrians have different variances with s=7.48092 cm for Americans and 7.14756 cm for Austrians. The sample sizes are n1= 145 and n2= 157. When using the F test with these data, is it correct to reason that there is no need to check for normalcy because n1 is greater than 30, and n2 is greater than 30?