The null hypothesis is Ho: H, = H, and the alternative hypothesis is as specified. The provided data are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. Observations from Pair Population 1 Population 2 7 2 13 12 Hgi H1 # H2 3 9 6 4 17 11 Click the icon to view the t-table. 5 1 12 13 10 7 Find the test statistic. Use population 1- population 2 as the difference. (Round to three decimal places as needed.)

We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x = 20, n = 24, σ = 4, H0: μ = 22, Ha: μ ≠ 22

A Data analytics professor wants to know whether level of college education influences the grade earned by students in his course.  Last semester, 400 students completed his class: 150 freshmen, 100 sophomores, 100 juniors, and 50 seniors. At end of the semester, 80 students earned an A, 148 earned a B, and 172 earned a C.  The distribution of grades is shown in the following table.  Do a chi-square test at alpha=0.05. What is the null hypothesis for this test?   A. The letter grades of the students are significantly different.   B. The letter grades of the students are dependent of the level of college education.   C. The letter grades of the students are identical.   D. The letter grades of the students are independent of the level of college education.

The numbers of online applications from simple random samples of college applications for 2004 and for the 2009 were taken. In 2004, out of 491 applications, 206 of them were completed online. In 2009, out of 268 applications, 145 of them were completed online. Test the claim that the proportion of online applications in 2004 was equal to the proportion of online applications in 2009 at the .10 significance level.Claim: Select an answer  p 1 > p 2  u 1≠u 2  p 1≠p 2  u 1 < u 2  p 1 ≥ p 2  u 1 = u 2  p 1 = p 2  u 1 ≥ u 2  p 1 < p 2  p 1 ≤ p 2  u 1 > u 2  u 1 ≤ u 2   which corresponds to Select an answer  H1: u 1 < u 2  H0: p 1 ≤ p 2  H1: p 1 > p 2  H0: p 1≠p 2  H1: p 1 < p 2  H1: u 1 > u 2  H1: p 1≠p 2  H1: u 1≠u 2  H0: p 1 = p 2  H0: u 1 ≤ u 2 Opposite: Select an answer  u 1 < u 2  u 1 ≤ u 2  p 1 ≥ p 2  p 1 ≤ p 2  p 1 > p 2  p 1 < p 2  u 1 ≠ u 2  p 1 = p 2  u 1 < u 2  u 1 = u 2  u 1 > u 2  p 1≠p 2   which corresponds to Select an answer  H1: p 1≠p…

Consider the hypothesis test below. Ho : P1 – P2 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 100 n2 = 300 P1 = 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? Select your answer -

Consider the following hypothesis test. Ho: H1 - H2 = 0 Ha: H1 - 42 # 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 35 = 40 = 13.6 X, = 10.1 S1 5.8 S2 = 8.1 (a) What is the value of the test statistic? (Use x, - x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? Do not Reject Ho: There is sufficient evidence to conclude that u, - µ, ± 0. Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0. Do not Reject Ho. There is insufficient evidence to conclude that u, - H, + 0. 0' Reject Ho. There is insufficient evidence to conclude that u1 - µ2 ± 0.

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Considering a treadmill test given to patients being tested for high blood pressure, male patients took their pulse rates before and after running for 5 min. Subject 1 2 3 4 5 6 7 8 9 10 Pulse before 64 100 85 60 92 85 68 85 85 68 Pulse after 68 115 84 68 105 92 72 88 80 92   Using a 0.05 significance level, perform the 8-step hypothesis test to test the claim that the mean difference between the pulse rates before and after the run is significantly zero. Based on the result, do the male pulse rates taken before and after running appear to be about the same or not?