sampling and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random Test whether PP2 The sample data are x, 120, n, 251, x₂-137, and n₂ =312. (a) Choose the correct null and alternative hypotheses below. OA H₂: Py =P₂ versus H₁: P, #P₂ OB. Ho: P₁ P₂ versus H₂: P₁ P₂ OC. Ho: P₁ = 0 versus H₂: P, #0 OD. Ho: P1 P₂ versus H₁: P₁ P2 (b) Determine the test statistic z (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? OA. Do not reject the null hypothesis because there is not sufficient evidence conclude that p₁ #P₂- OB. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ P₂- OD. Do not reject the null hypothesis because there is not sufficient evidence conclude that p₁

Let n1 =80, X1 = 10, n2=80, and x2= 20. Complete parts (a) and (b)below. A.At the 0.10 level of significance, is there evidence of a significant difference between the two population proportions? 1)Determine the null and alternative hypothesis. 2) Calculate the test statistics, Zstat based on the difference p1-p2 The test statistics = P-value = Determine a conclusion.Choose the correct answer below (Reject/Do not reject) the null hypothesis. There is sufficient (evidence/insufficient )evidence to support the claim Construct 90% confidence interval estimate of the difference between the two population proportions.

Testing men and womens views on what age is ideal to get married. Sample: men=25 women=26. Asked them what their ideal age would be to get married.  Men: mean=24.11   std. Dev.=2.19 n=25 Women: mean=21.79. Std. Dev.:=2.20 n=26 A. State the null and research hypotheses, b. Idebtify critical values of z or t used to define the decision rule, c. Calculate the test statistic, d. Report p-value, e. Report your findings

Match the hypothesis to the situation. Hypothesis: 1. Ho: p1=p2 2. Ho: p= .73 3. Ho: = 0 4. Ho: 11 = ₂ 5. Ho: =.73 Two sample mean, independent samples Two sample mean, dependent samples One sample mean One sample proportion Two sample proportion o [Choose | [Choose ] Hypothesis 3 None of the hypothesis Hypothesis 4 Hypothesis 2 Hypothesis 5 Hypothesis 1 € A ► n 3

Test the indicated claim about the means  of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Two types of cereal ? are test for their consumption time (in minutes). At the 0.01 significance level, test the claim that the two populations of cereal have equal means. Cereal A Cereal B n1 = 37 n2 = 35 xˉx̄1 = 19.6 min xˉx̄2 = 19.1 min s1 = 1.7 min s2 = 0.6 min What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p₁ x̄₁ μ₂ p̂₁ x̄₂ μ μ(A) p s₁² p₂ σ₁² μ₁  ? > ≥ ≤ < = ≠  Select an answer μ(B) p₁ p p₂ x̄₂ μ x̄₁ s₁² μ₂ μ₁ p̂₁ σ₁² H1: Select an answer σ₂² μ₂ x̄₁ p̂₂ p₁ μ₁ s₂² x̄₂ μ μ(A) p₂ p  ? > = ≠ ≥ ≤ <  Select an answer p₁ p μ₂ s₁² μ₁ x̄₁ p̂₁ p₂ μ(B) σ₁² μ x̄₂     Original Claim = Select an answer H₁ H₀ df =  Based on the hypotheses, find the following: Test Statistic =  (Round to three decimal…

HW10Q3

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 = 24, n = 15, σ = 4, H0: μ = 22, Ha: μ<22

I need help finding the p-value

In a test for the difference between two proportions, the sample sizes were n₁ = 99 and ₂ = 116 and the numbers of events were x₁ = 64 and x₂ = 56. A test is made of the hypotheses Ho: P₁ P₂ versus H₁ P₁ > P₂. Part: 0 / 3 Part 1 of 3 (a) Compute the P-value using your calculator. Round your answer to four decimal places. The P-value is X S

What is the test statistic and the p- value ?