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- 2. Use the given information to find the following a. Provide the t-score required for this hypothesis test. (Include at least two decimal places) b. What is the p-value determined by this hypothesis test?14% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 363 randomly selected students who receive financial aid, 40 of them volunteered their time. What can be concluded at the αα = 0.01 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 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 14% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%. The data suggest the populaton…A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 48 of 100 individuals prefer Brand A. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho: p= Po versus H,: p#Po for po = 0.37, 0.38, 0.39, .., 0.57, 0.58, 0.59 at the a = 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? Do not reject the null hypothesis for the values of po between and inclusively. (Type integers or decimals as needed.)
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 654 303 989 591 872 934 828 947 Store 2 498 114 674 605 912 1008 686 848 Difference 156 189 315 - 14 - 40 - 74 142 99 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences…A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer. Colour Frequency White 104 Chi Square ribution Table Black 127 SAMSUNG Can the company conclude that their expected distribution was accurate using a 1% level of significance? Silver 89 SUBMIT QUESTION Rose Gold ВО SAVE PROGRESS SUBMIT ASSIGNMENT 10:16 AA local coach wants to see if training in light rooms or dark rooms impacts athlete performance. With the single team, the coach tries training in different conditions and takes measurements. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the coach make about the hypothesis? Coach should reject the null hypothesis. Coach should fail to reject the null hypothesis. Coach should accept the null hypothesis. Coach does not have enough information to decide.
- (1) Create your own example of a Related/Paired Samples t-Test. You don't have to solve this example, but I want you to demonstrate that you understand the methodology (the way a study is designed) of the Paired-Samples t-Test. Include the following: IV: DV: Null Hypothesis: Alternative Hypothesis:(a) Identify the claim and state the null and alternative hypotheses. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. (c) Calculate the test statistic. If convenient, use technology.The one-sample t-statistic for a test of Ho: u = 42 versus H1:µ < 42 based on n = 15 observations has the value t = -2.138, where Ho and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this t-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as listed in the t-table. P-value of the test <
- A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 12 workers and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6. 7 8. 9. 10 11 12 Process 1 85 63 46 85 83 70 64 51 48 69 67 52 Process 2 88 46 43 61 80 51 59 53 23 46 59 52 Difference - 3 17 3 24 19 5 -2 25 23 8 (Process 1 - Process 2) Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding u, (which is with a letter "d" subscript), the population…Kira has two ways to travel from her home in Norco to her office in LOs Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Kira has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips. Travel times in minutes 10 Freeway 71, 75, 69, 65, 65, 66, 72, 68 60 Freeway 76, 76, 66, 79, 74, 70, 72, 77 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers…(7) A longitudinal study is conducted to evaluate the long-term complications in diabetic patients. A new treatment is developed. The data below shows the results reported on 200 patients (100 patients each for the Treatment and the Placebo) over a 2-year observation period. New Treatment Placebo Long-Term Complication Yes No 88 92 12 8 (a) Using an appropriate hypothesis test, determine whether the new treatment is effective. Use a=0.05. Check assumptions. (b) Find the p-value of your test and draw conclusion.
