Below is a table that shows samples of computed p values and the corresponding level of significance.___a (alpha). Put the appropriate remarks whether to reject Ho or to accept Ho. Ho is your null hypothesis. Computed p-value Interpretation Level of Significance a 4. p = 0.05 5. p = 0.25 6. p = 0.003 a =0.05 a =0.05 a =0.01
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A: a.The original claim is that the mean pulse rate of a certain group of adult males is 70 bpm.
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Q: a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the…
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Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: The hypotheses are; This is a lower-tailed test. The level of significance, α is 0.001.
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A: Solution: Given α=0.05 Level of significance Original claim: The mean pulse rate (in beats per…
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- You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 65.8 77.7 105.1 78.6 89.2 69.1 96.7 91.3 105.9 87.5 70.5 93.9 83.4 88.3 79.5 66.7 83.4 91.7 106.7 73 75.7 98.7 76.7 80 53.2 92.1 93 78.2 72.4 79.1 82.1 74.1 78.2 85.5 85.9 99.3 84.2 104.3 88.3 107.6 63.8 99.8 97.7 86.3 74.9 72.7 77.5 93.9 76.1 77.1 81.9 74.1 73.6 78.7 81.9 78.9 81.1 88 85.8 75.3 74.3 77.5 69.1 75.5 72.9 80.1 84.3 73.1 67.3 72.2 76.1 67.8 74.9 67.3 74.7 70.1 65.4 76.9 83.8 79.7 72.9 81.7 74.1 68.2 65.4 80.9 69.4 79.5 96 77.5 77.1 75.9 68.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four…Assume a significance level of α=0.05 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 68 bpm. The hypothesis test results in a P-value of 0.0901. a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below. A. Reject H0 because the P-value is greater than α. B. Fail to reject H0 because the P-value is greater than α. C. Reject H0 because the P-value is less than or equal to α. D. Fail to reject H0 because the P-value is less than or equal to α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 68 bpm. B.…Use the departure delay times and the arrival delay times to test the claim that there is a correlation between departure delay times and arrival delay times. Test for rank correlation with a 0.05 significance level. Click here to view the flight delay data. Click here to view the critical values of Spearman's rank correlation coefficient. Flight delay data .... Determine the null and alternative hypotheses for this test. Choose the correct answer below. O A. Hg: Ps =0 Departure Delay Arrival Departure Delay Arrival O B. Ho: Ps #0 H: Ps = 0 Departure Delay Arrival H: Ps #0 Delay Delay Delay - 36 -7 11 14 OC. Ho:r 0 H:r=0 O D. Ho: r =0 H:rg 40 -21 15 25 -33 10 -32 Determine the the correlation coefficient. - 5 32 13 4 12 16 -23 (Round to three decimal places as needed.) 3 14 -38 60 28 13 3 13 149 111 Determine the critical value(s) of the correlation coefficient, -38 -7 -35 - 3 -21 -23 23 - 2 -10 14 (Round to three decimal places as needed. Use a comma to separate answers as needed.)…
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=72.2Ho:μ=72.2 Ha:μ≠72.2Ha:μ≠72.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22 with mean M=68.6 and a standard deviation of SD=20.9What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The test satistic of z=-2.81 is obtaines when testing the claim that p=2/3. a. Using a significance level of ∝=0.01, findvthe critcal value(s). b. Should we reject or fail to reject the null hypothesis?You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=77.3Ho:μ=77.3 Ha:μ≠77.3Ha:μ≠77.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=18n=18 with mean M=84M=84 and a standard deviation of SD=10.6SD=10.6.What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
- A sample mean is 137, sample size is 20, and population standard deviation is 14.2 are given. Ho: μ-132, H1: µ#132 and a significance level is 0.05. Use the P-value approach to test the hypothesis. O a. a. z = 2.57; P-value = 0.0101; reject null hypothesis b. z = 0.35; P-value = 0.7263; do not reject null hypothesis O c. z = 1.57; P-value = 0.0582; do not reject null hypothesis O d. z = 1.57; P-value = 0.1164; do not reject null hypothesisYou wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 41.9 43.9 54.4 59.3 65.1 75.1 47.8 53.5 49.7 66.3 62.1 49.1 28.1 42.8 56.4 43.6 35.6 38.1 38.1 58.2 40.2 42.8 57.1 53.5 64 48.4 28.1 28.1 51.3 54.4 44.7 61.3 41.1 51.3 51.3 66.3 75.1 47.5 60.4 48.4 34.8 37.5 54.4 39.2 43.2 55.1 33.2 34 61.7 57.4 36.3 50.3 37.5 40.6 41.1 60.8 56.8 61.3 42.3 40.7 45.1 53.6 40 56.2 42.8 50.4 57.4 53.4 60.7 61 68.1 55.6 55.1 53.6 49.9 53.2 65.7 49.5 52.8 45.4 54.5 58.9 58.9 50.8 60.1 54.3 66.4 56.2 51.3 53.4 52.3 52.3 64.6 53.4 53.6 55.8 64.1 46.6 57.9 48 59.8 58.9 64.6 54.1 47.7 63.6 59.5 54.7 50.6 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the…Assume a significance level of α=0.1 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 70 bpm. The hypothesis test results in a P-value of 0.0025. a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below. A. Fail to reject H0 because the P-value is less than or equal to α. B. Reject H0 because the P-value is less than or equal to α. C. Reject H0 because the P-value is greater than α. D. Fail to reject H0 because the P-value is greater than α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The mean pulse rate (in beats per minute) of the group of adult males is 70 bpm. B. There is sufficient evidence to warrant rejection of the claim that the…
- Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15. Give the test statistic and the p-value. What is the conclusion?You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=66.6Ho:μ=66.6 Ha:μ≠66.6Ha:μ≠66.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=19 with mean ¯x=74.3 and a standard deviation of s=11.5.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =Use the following sample to evaluate H0: μ = 65, at significance level α = 0.05. 53 75 68 53 57 12 4 10 45 94 23 73 9 41 79 92 90 46 49 71 State the correct test and your conclusion. T-test. Reject Ho. T-test. Fail to reject Ho. Z-test. Fail to reject Ho. Z-test. Reject Ho.