Thr P-value for a hypothesis test is shown. Use tye P-value to decide wheter to reject Ho when the level of significance is
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Thr P-value for a hypothesis test is shown. Use tye P-value to decide wheter to reject Ho when the level of significance is
(i)a=0.01
(ii)a= 0.05, anf
(iii)a= 0.10
P=0.0474
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- You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:p1=p2 Ha:p1<p2You obtain a random sample of size 299 from the first population, with 217 successes. You obtain a random sample of size 718 from the second population, with 549 successes.What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.)p-value = The p-value is... less than αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first…Data were collected from a random sample of eight patients currently undergoing treatment for hypertension. Each subject reported the average number of cigarettes smoked per day (NUMCIGS) and each was assigned a numerical value reflecting their risk of cardiovascular disease (RISKCVD) The risk assessments were computed by physicians and based on blood pressure, cholesterol level, and exercise status. The risk assessments ranged from 0 to 100, with higher values indicating increased risk. The data is in the table below and is posted in the Session 9 module as an excel file (a8_q1.xlsx). Subject NUMCIGS RISKCVD 1 12 2 2 20 3 50 4 8 68 12 75 6. 8. 7 2 10 20 80 Let X = NUMCIGS and Y = RISKCVD. Calculate the correlation coefficient. Round to the third decimal point (e.g. 100.1249 becomes 100.130).Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 5 inches. n USE SALT (a) What is the probabillty that an 18-year-old man selected at random is between 65 and 67 inches tall? (Round your answer to four decimal places.) (b) If a random sample of fourteen 18-year-old men is selected, what is the probability that the mean helght x is between 65 and 67 Inches? (Round your answer to four decimal places.) (c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this? O The probability in part (b) is much lower because the standard deviation is smaller for the x distribution. O The probability in part (b) is much higher because the mean is smaller for the x distribution. OThe probability in part (b) is much higher because the standard deviation is larger for the x distribution. The probablity in part (b) is much higher because the standard deviation is smaller for…
- For the hypothesis test Ho: u = 8 against H1:µ < 8 and variance known, calculate the P-value for each of the following test statistics. Round your answers to two decimal places (e.g. 98.76). (a) zo = 1.81 P-value = (b) zo = -1.84 P-value = (c) zo = 0.33 P-value =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?Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%. The data suggest the populaton proportion is significantly higher than 10% at α = 0.05, so there is statistically…
- The sample correlation coefficient between X and Y is 0.375. It has been found out that the p-value is 0.744 when testing Ho :p = 0 against the one-sided alternative H1:p < 0. To test Ho:p = 0 against the two-sided alternative H1: p not equal to 0. at a significance level of 0.193, the p-value is 0.744 /2 O (0.744) 2 O 1-0.744 O (1 -0.744) 2(a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.05 level, can it be concluded that the mean completion time under new management is less than the scheduled mean? Yes NoThe test statistic of z = 2.05 is obtained when testing the claim that p > 0.4. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:p=0.72Ho:p=0.72 Ha:p>0.72Ha:p>0.72You obtain a sample of size n=403n=403 in which there are 316 successful observations.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 = The p-value is... less than (or equal to) αα greater than αα Correct This test statistic leads to a decision to... reject the null accept the null fail to reject the null Correct As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.72. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.72. The sample data support the claim that the population proportion is greater than 0.72. There is not…test statistic 0.572 and p-value of 0.2837 are INCORRECTssume a significance level of alpha equals 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 71 bpm. The hypothesis test results in a P-value of 0.0099 . a. State a conclusion about the null hypothesis. (Reject Upper H 0 or fail to reject Upper H 0 .) Choose the correct answer below. A. Reject Upper H 0 because the P-value is less than or equal to alpha . B. Fail to reject Upper H 0 because the P-value is less than or equal to alpha . C. Reject Upper H 0 because the P-value is greater than alpha . D. Fail to reject Upper H 0 because the P-value is greater than alpha . 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 not…
