Assume that you have a sample of n, =8, with the sample mean X, = 44, and a sample standard deviation of S, =6, and you have an independent sample of n2 = 17 from another population with a sample mean of X2 = 33 and the sample standard deviation S2 = 5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: 1 = #2? [STAT = 4.82 (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? 23 degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: My $ 2 against the alternative H1 : Hy > #2? The critical value is 2.81 Round to two decimal places as needed.)Does co-browsing have positive effects on the customer experience? Co-browsing refers to the ability to have a contact center agent and customer jointly navigate an online document or mobile application on a real-time basis through the web. A study of businesses indicates that 78 of 133 co-browsing organizations use skills-based routing to match the caller with the right agent, whereas 100 of 184 non-co-browsing organizations use skills-based routing to match the caller with the right agent. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a difference between co-browsing organizations and non-co-browsing organizations in the proportion that use skills-based routing to match the caller with the right agent? State the null and alternative hypotheses, where x, is the population proportion of co-browsing organizations that use skills-based routing and it is the population proportion of non-co-browsing organizations that use skills-based routing- A. Ho: 1 = 12 OB. Ho: Ty # 12 OC. HO: Ty = 12 OD. HO: Ty = 12 H1 : Ty = 12 H 1 : 1 1 > 2 OE. HO: Thy # 12 OF. HO: my # 12 H 1 : 1 > 2 Hy : 1 2 Determine the value of the test statistic. ZSTAT = 0.76 (Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are). (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)A recent survey identified the top accounting firms within 10 geographical regions across country X. The top 2 regions reported a combined growth of 19% and 18%. A characteristic description of the accounting firms in these two regions included the number of partners in the firms. Attached below is a sample of the number of partners for 20 firms for each region. Complete (a) through (c) below. Click the icon to view the accounting firms data. a. At the 0.05 level of significance when pooling the variances, is there evidence of a difference between the two regions' accounting firms with respect to the mean number of partners? Let u, be the mean number of partners for the highest growth region and 2 be the mean number of partners for the second highest growth region. Determine the hypotheses. Choose the correct answer below. YA. Ho: H1 = H2 OB. Ho: My # #2 H1 : My # H2 H 1 : 1 1 = H2 O C. Ho: M1 2 12 OD. HO: My SH2 H1: 11 = H2 H 1 : 1 1 > H2 Determine the test statistic. STAT = -0.94 (Round to two decimal places as needed.) - X Determine the critical value(s). Accounting Firms Data (Use a comma to separate answers as needed. Round to two decimal places as needed.) Number of partners for 20 firms in the region with the highest combined growth 78 107 29 29 39 19 26 24 26 13 8 7 8 10 17 31 15 22 23 Number of partners for 20 firms in the region with the second highest combined growth 175 48 25 47 44 11 25 39 28 20 32 20 14 30 30 17 35 26 26 23 Print DoneA survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 59% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 400 females, 236 reported window tinting as their preferred luxury upgrade of choice, while of 600 males, 306 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.1 level of significance? State the null and alternative hypotheses, where x is the population proportion of females who said they prefer window tinting as a luxury upgrade and my is the population proportion of males who said they prefer window tinting as a luxury upgrade. O A. Ho: Ty = 12 OB. HO: Thy # 12 H 1 : 1 > 2 H 1 : 1 1 > 2 &C. Ho: 1 = 12 OD. HO: T1 = 12 Hy : Ty = 12 OE. HO: my # 12 OF. HO: Ty # 12 H1 : 1 = 12 Hy: T1 2 Determine the value of the test statistic. ZSTAT = 2.49 (Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are) - X (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)One of the most impressive, innovative advances in online fundraising over the past decade is the rise of crowdfunding websites. While features differ from site to site, crowdfunding sites are websites that allow you to set up an online fundraising campaign based around a fundraising page, and accept money directly from that page using the website's own credit card processor Acertain crowdfunding website reported that 135 of 35? technology crowdMnding projects were successfully launched in the past year and 351 of 884 lm and video crowd-funding projects were successfully launched in the past year. Complete parts [a] through (c) below. a. Is there evidence of a signicant difference in the proportion of technology crowd-funding projeds and lm and video crowd-funding projects that were successful? (Use or = [101.) State the null and alternative hypotheses, where :1 is the population proportion of successful technology crowd-funding projects and x2 is the population proportion of successful lm and video crowdfunding projects. tE'Ai H0211 =12 -.j:j.- B. H; 115%:2 H1::t1af1rz x1=rr2 .nEJIZ 11:12 :11 112 1:1 >12 Determine the value of the test statistic. ZSTAT = 0.62 [Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value[s) or this test of hypothesis. The critical value(s) is {are} (Round to two decimal places as needed. Use a comma to separate answers as needed.)