1. [-/4 Points] DETAILS UHSTAT6 12.2.049.S. MY NOTES ASK YO Find the p-value for each of these situations, taking into account whether the test is one-sided or two-sided. (Round your answers to four decimal places.) USE SALT (a) z-statistic = 2.70, Ho: p = 0.10, Ha: p # 0.10. (b) z-statistic = -1.60, Ho: p = 0.6, Ha: p 0.25. Need Help? Read It Watch It Submit Answer 2. [-/3 Points] DETAILS UHSTAT6 12.2.050. MY NOTES ASK YO A hypothesis test is done to determine if the proportion of a certain ethnic group having blood type A is greater than 30%. In a sample of 1,000 individuals from that ethnic group, 350 have blood type A. The results are reported as z = 3.45, p = 0.0003. Provide a numerical value for each of the following based on the reported results. (a) the null value, Po PO = (b) the sample proportion, p D = (c) the p-value for the test p-value = Need Help? Read It5. [-/6 Points] DETAILS UHSTAT6 13.2.014. MY NOTES ASK YOUR TE Define the parameter of interest, and then use it to write the null and alternative hypotheses (in symbols) for each of the following research questions. Make sure you specify the population to which the parameter applies. (a) Many cars have a recommended tire pressure of 33 psi (pounds per square inch). At a roadside vehicle safety checkpoint, officials plan to randomly select 70 cars for which this is the recommended tire pressure and measure the actual tire pressure in the front left tire. They want to know whether drivers on average have too little pressure in their tires. Define the parameter of interest The parameter of interest is the average tire pressure for the population of all tires where the recommended pressure is not 33 psi. O The parameter of interest is the average tire pressure for the population of all tires. The parameter of interest is the average tire pressure for the population of all tires where the recommended pressure is 33 psi. The parameter of interest is the population mean difference between the tire pressure for any pair of tires whose recommended pressure is 33 psi. The parameter of interest is the difference between the population mean tire pressure for all tires where the recommended pressure is 33 psi and the population mean tire pressure for all tires where the recommended pressure is not 33 psi. Write the null and alternative hypotheses in symbols (in psi). (Enter != for # as needed.) Ho HA (b) The box of Yvette's favorite cereal states that the net contents weigh 13 ounces. Yvette is suspicious of this claim because the package never seems full to her. She plans to measure the weight of the contents of the next 30 boxes she buys and find out whether she is being short-changed. Define the parameter of interest. O The parameter of interest is the average weight of the contents for the population of all boxes of cereal. O The parameter of interest is the average weight of the contents for the population of all boxes of Yvette's favorite cereal. The parameter of interest is the difference between the population mean weight of the contents for all boxes of Yvette's favorite cereal and the population mean weight of the contents for all boxes of other kinds of cereal. The parameter of interest is the average weight of the contents for the population of all boxes of cereal whose label states the net contents weigh 13 ounces. The parameter of interest is the population mean difference between the weight of the contents for any pair of cereal boxes whose label states the net contents weigh 13 ounces. Write the null and alternative hypotheses in symbols (in ounces). (Enter != for # as needed.) Ho H. Need Help? Read It 6. [-/1 Points] DETAILS UHSTAT6 13.2.017. MY NOTES ASK YOUR TE Give the value of the test statistic t for a test with Ho: / = 260, x = 308, standard error = 6 and n = 100. t = Need Help? Read it7. [-/4 Points] DETAILS UHSTAT6 13.2.018.S. Find the p-value and draw a sketch showing the p-value area for each of the following situations in which the value of t is the test statistic for the hypotheses given. LA USE SALT (a) Ho: M = Hor Ha: M > Horn = 26, t = 2.20 Use technology to find the p-value. (Round your answer to four decimal places.) D-value = Draw a sketch showing the p-value area. -3.13 -2.09 -1.04 0.00 1.04 2 2.09 -3.13 -2.09 -1.04 0.00 1.04 2.09 3.13 -3.13 -2.09 -1.04 0.00 1.04 2.09 3.13 -3.13 -2.09 -1.04 0.00 1.04 3.13 C Q O i (b) Ho: M = Mor Ha: H > Ho, n = 26, t = -2.20 Use technology to find the p-value. (Round your answer to four decimal places.) p-value = Draw a sketch showing the p-value area. -3.13 -2.09 -1.04 0.00 1.04 2.09 3.13 -3.13 -2.09 -1.04 0.00 1.04 2.09 3.13 -3.13 -2.09 -1.04 0.00 1.04 2.09 3.13 -3.13 -2.09 -1.04 0.00 1.04 2.09 3.13 O Need Help? Read It8. [-/4 Points] UHSTAT6 13.2.0235. Suppose a study is done to test the null hypothesis H0: u = 100. A random sample ofn = 46 observations results in )7 = 106 and s = 12. USE S (a) What is the null standard error in this case? (Round your answer to three decimal places.) l (b) Plug the correct numbers into the formula for t and enter the result in the answer box. (Round your answer to three decimal places.) sample statistic , null value = '7' null standard error 7 (c) On the basis of the information given, can the p-value for this test he found? If so, use technology to find it. (If the p-value cannot be found from the given information enter NA. Round your answer to four decimal places.) p-value =l If the p-value cannot be found, explain what additional information would be needed. 0 The standardized statistic is needed. Without it, the p-value cannot be calculated. 0 The alternative hypothesis is needed. Without it, the direction of the test and whether it is one-sided or two-sided are unclear. O The sample size is small, so we need to know that the population distribution is approximately normal for the hypothesis test and its p-value to be valid. 0 The population mean is needed. Without it, the standardized statistic cannot be calculated. 0 The pvalue can be found. No additional information is needed. Need Help? nun