Independent random samples were selected from two quantitative populations, with sample data given below. If your research objective is to show that ?1 is larger than ?2, use the critical value approach to test the appropriate hypothesis with ? = 0.01. n1     =     33,    n2     =     41,    x1 = 37.0,    x2 = 33.4, s1     =     5.1,    s2     =     3.6 a) state null and alternate hypotheses b) find the test statistic (round to two decimals) c) find rejection region (round to two decimals) d) state conclusion

Only 20% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 317 randomly selected registered voters surveyed, 54 of them will vote in the upcoming election. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H: ? vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 20% at a = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be…

5. A one-way ANOVA test is conducted and finds the following results: n = 34, K = 4, x̅ = 8.32, MST = 26.723, and MSE = 14.767. What is the test statistic, F, for this ANOVA test? B. 1.81 D. 3.69 C. 3.21 A. 1.77 6. A hypothesis test is conducted with H0 : p1 - p2 = 0 vs. Ha: p1 - p2 ≠ 0 . What is the tail area of the hypothesis test given the sample data: n1= 121, p1=0.79, n2= 81, p2 = 0.67 C. 0.0614 B. 0.0536 A. 0.0268 D. 0.0307

Suppose are running a study/poll about the accuracy rate for fingerprint identification. You randomly sample 75 people and find that 62 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.78H0:p=0.78Ha:p≠0.78Ha:p≠0.78 Calculate the test statistic, rounded to 3 decimal places. z=

Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table)H0: p1 − p2 ≥ 0HA: p1 − p2 < 0  x1 = 250 x2 = 275 n1 = 400 n2 = 400 a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)   b. Find the p-value.multiple choice 1 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c. At the 5% significance level, what is the conclusion to the test?multiple choice 2 Reject H0 since the p-value is less than significance level. Reject H0 since the p-value is greater than significance level. Do not reject H0 since the p-value is less than significance level. Do not reject H0 since the p-value is greater than significance level. d. Interpret the results at…

Consider the following hypothesis test: Ho: μ> 45 Ha: μ < 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α-.01 and four decimals for p-value questions a. with X = 44 and s = 5.2, the p-value is-select your answer- Can it be concluded that the population mean is less than 45? Select b. with X = 43 and S-4.6, the p-value is | -select your answer Can it be concluded that the population mean is less than 45? Select c. with X = 46 and s-5.0, the p-value is l -select your answer Can it be concluded that the population mean is less than 45? Select

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.

Let p1 = population proportion for population 1, p2 = population proportion for population 2, ... and pk = population proportion for population k. Consider the following null hypothesis: H0: p1 = p2 = ... = pk. Which of the following statements is correct?   a. The alternative hypothesis to the null hypothesis stated above must be: Ha: Not all population proportions are equal.   b. If the sample data and the chi-square test computations indicate H0 cannot be rejected, we cannot detect a difference among the k population proportions.   c. If the sample data and the chi-square test computations indicate H0 can be rejected, we have the statistical evidence to conclude that one or more population proportions differ from the other population proportions.   d. All of the above.