You are interested in the relationship between the income of recent college graduates and the income of their parents. Below is a random sample containing information on the annual income of recent college graduates and the annual income of their top income earning parent. Income is measured in thousands of dollars. Recent graduate annual income Parent annual income 34 42 51 60 28 35 38 46 59 86 105 92 55 66 62 90 You decide to specify a simple linear regression model where graduate income is the outcome variable and parent income is the predictor. Which of the following describes your regression model? ○ Parent Income = B+B Grad_Income + e O Parent Income = B+B Grad Income 0 O Parent Income = Grad_Income + e Grad Income = B+B Parent Income + e

In a two- tailed hypothesis test the test statistic is determined to be Z = - 2.4 . The p- value for this test is A. 0.0164 B. -1.250 C. 0.0062 D. 0.0124

A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-value for the hypothesis test. x₁ = 11, n₁ =200, x₂ = 8, n₂ = 100; Ho: P₁ = P₂, H₂: P₁ P₂, α=0.01 O A. 0.1011 B. 0.3844 C. 0.4010 O D. 0.2005

Consider the hypothesis test below. Ho P1 Ha P₁ The following results are for independent samples taken from the two populations. Sample 1 n1 = 100 P₁ = 0.28 P2 ≤ 0 P20 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. 0 Sample 2 7₂ = 300 P2 = 0.15

Suppose that in a random selection of 100 colored candies, 25% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.26 H₁: p0.26 O C. Ho: p=0.26 H₁: p=0.26 O D. Ho: p=0.26 H₁: p=0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% C. Fail to reject Hỏ. There is…

Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use  ? = 0.05. (a) x = 104 and s = 11.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) State your conclusion. Reject H0. There is sufficient evidence to conclude that ? ≠ 100.Do not reject H0. There is insufficient evidence to conclude that ? ≠ 100.    Do not reject H0. There is sufficient evidence to conclude that ? ≠ 100.Reject H0. There is insufficient evidence to conclude that ? ≠ 100. (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.)   Find the p-value. (Round your answer to four decimal places.) p-value =  State your conclusion. Reject H0. There is sufficient evidence to conclude that ? ≠ 100.Do not reject H0. There is insufficient…

The one-sample ?‑statistic for a test of ?0:?=0 versus ?1:?≠0 based on ?=15 observations has the value ?=−2.138, where ?0 and ?1 are the null and alternative hypotheses, respectively. The sample size is denoted by ?. Use this ?‑table to determine which two ?-values bracket the ?-value of the test. Report your answer as listed in the given ?‑table.

questions : "determine the null and alternative hypotheses" and the pnes below it.

Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p +0.26 H₁: p=0.26 O B. Ho: p=0.26 H₁: p=0.26 O C. Ho: p = 0.26 H₁: p>0.26 O D. Ho: p=0.26 H₁: p<0.26

The p-value for a hypothesis test turns out to be 0.00694. At a 9% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0