Continuing with the hypothesis test in the previous question, H0: μ = 180, suppose the SIR = 1.17 and you choose a 5% Type-I error rate (alpha). If the SIR statistic’s p-value = 0.022, what would you conclude about the hospital’s CLABSI rate?
Reject H0 and conclude the hospital’s rate is different from the expected baseline rate.
Reject H0 and conclude the hospital’s rate does not differ from the expected baseline rate.
Do not reject H0 and conclude the hospital’s rate is different from the expected baseline rate.
Do not reject H0 and conclude the hospital’s rate does not differ from the expected baseline rate.
Reject H0 and conclude the hospital’s rate is different from the expected baseline rate.
Continuing with the hypothesis test in the previous question, H0: μ = 180, suppose the SIR...
Suppose a hospital observes 210 CLABSI events when the expected baseline rate is 180 events. In that case, the SIR = 210/180 = 1.17. Does the observation that the hospital’s SIR > 1 permit one to conclude that the hospital’s CLABSI rate is, in fact, greater than the expected baseline rate? Yes, by definition, SIR = 1.17 indicates that the actual rate is greater than the expected rate. Yes, there are 30/180 = 16.7% more CLABSI cases than should be expected...
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.28. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
(a) Suppose the null and alternative hypothesis of a test are: H0: μ= 9.7 H1: μ >9.7 Then the test is: left-tailed two-tailed right-tailed (b) If you conduct a hypothesis test at the 0.02 significance level and calculate a P-value of 0.07, then what should your decision be? Fail to reject H0 Reject H0 Not enough information is given to make a decision
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) _______ (b) Use the t distribution table to compute a range for the p-value. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...
Consider the hypotheses below. H0: μ=50 H1: μ≠50 Given that x overbar equals x=51,s=10,n=25,and alpha equals=0.05, answer the questions below. a. What conclusion should be drawn? b. Use technology to determine the p-value for this test. a. Determine the critical value(s). The critical value(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct...
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of H0:μ=100. You chose a significance level of α=0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of μ is 104. How would you describe the result of your analysis? A) A Type 1 error was made because...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.09. The population standard devlation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) (c) At a = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that...
Suppose that we are to conduct the following hypothesis test: H0:H1:μμ=>970970H0:μ=970H1:μ>970 Suppose that you also know that σ=220σ=220, n=85n=85, x¯=1016.2x¯=1016.2, and take α=0.005α=0.005. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the...