A test of Ho: μ=0 versus H₁: >0 is performed using a significance level of a=0.05. The P-value is 0.07. Part: 0 / 3 Part 1 of 3 (a) Is H. rejected? Since P Part: 1/3 Part 2 of 3 Part: 2/3 a, we do not rejectHo at the a=0.05 level. (b) If the true value of His 0, is the result a Type I error, a Type II error, or a correct decision? The result is a correct decision Part 3 of 3 X X 5 (c) If the true value of His 4, is the result a Type I error, a Type II error, or a correct decision? G E
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- Newspaper headlines recently announced a decline in science scores among high school seniors. In 2015, 15,109 seniors tested by The National Assessment in Education Program (NAEP scored a mean of 147 points. In 2000, 7537 seniors had averaged 150 points. The standard error of the difference in the mean scores for the two groups was 1.22. a) State the null and alternative hypotheses in terms of the appropriate parameter. Ho: p1 - µ2 HA: H1 - µ2 b) The point estimate is c) The test statistic is ? v . (If necessary, round your answer to the nearest hundredth.) d) The p-value is e) The correct decision is to Select an answer | the null hypothesis. f) There is Select an answer evidence that scores have decreased between 2000 and 2015. g) We are 95% confident that the mean score has decreased by between and points between 2000 and 2015. (If necessary, round your answers to the nearest hundredth.)Exp (1) a. Test Ho:2 = 10 vs HA: 1 = 2 b. Get Most Powerful Test (MPT) at a given significance level a. c. Analyze your MPT's power . [let n = 12 and a = .20]The mean salary of federal government employees on the general schedule is $59,593. The average salary of 30 state employees who do the similar work is $ 58,800 with α =$1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees?
- Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x = 100.29, y = 101.75, r = 0.830, P-value = y = 6.74 + 0.95x, where x represents the IQ score of the twin born second. Find the best predicted value of y given that the twin born second has an IQ of 103? Use a significance level of 0.05. 0.000, and Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is (Round to two decimal places as needed.)Critical values of the pearson correlation coefficient r x = 0.05 x = 0.01 |NOTE: To test Ho: p= 0 against H,: p+0, reject H, lif the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 0.878 0.959 0.811 0.917 7 0.754 0.875 8 0.707 0.834 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40 0.312 0.402 45 0.294 0.378 50 0.279 0.361 60 0.254 0.330 70 0.236 0.305 80 0.220 0.286 90 0.207 0.269 100 0.196 0.256 x = 0.05 a = 0.01 Print DoneA test of Ho:mu-3 vs Ha: mu not-3 resulted in a p-value of 0.13. We can predict that, using the same data set: • the 90% CI for mu • the 95% CI for mu [Select] . [Select] the 99% CI for mu [ Select] include 3 include 3 ✓include 3
- Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 101.16, y = 102.3, r= 0.810, P-value = 0.000, and y = 23.09+0.78x, where x represents the IQ score of the wife. Find the best %3D %3D %3D predicted value of y given that the wife has an IQ of 109? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. .... The best predicted value of y is . (Round to two decimal places as needed.) Critical values of the pearson correlation coefficient r NOTE: To test Ho: p = 0 against H,: p#0, reject Ho |if the absolute value of r is greater than the critical value in the table. a = 0.05 a = 0.01 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40…Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x = 102.36, y = 104.7, r=0.949, P-value = 0.000, and y = 0.27 + 1.02x, where x represents the IQ score of the twin born first. Find the best predicted value of y given that the twin born first has an IQ of 99? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is (Round to two decimal places as needed.)Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 101.53, y= 101.85, r=0.926, P-value =0.000, and y= -4.1+1.04x, where x represents the IQ score of the twin born first Find the best predicted value of y given that the twin born fiest has an 1Q of 101? Use a significance level of 0 05. Click the icon to view the critical values of the Pearson correlation coetficient r. The best predicted valuo of y isn. (Round to two decimal places as needed)
- You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (H.:p7 0). а You have a data set with 5 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of a = 0.05. Find the critical value for this test. rc.v. Report answers accurate to three decimal places.A survey is conducted to determine if there is a The conditions for inference are met. The chi-square difference in the proportion of students, parents, and test statistic is 0.19, df = 2, and the P-value is greater than any reasonable significance level. What teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. conclusion should be made? There is convincing evidence that the proportions of these students, parents, and teachers who Student Parent Teacher volunteer at least once a month differs. Yes 24 12 O There is not convincing evidence that the Volunteer? No 21 13 proportion of these students, parents, and teachers who volunteer at least once a month differs. The researcher would like to test these hypotheses: O There is convincing evidence that the distribution of Họ: There is no difference in the distribution of responses for the…Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=105.12, y=104.25, r=0.877, P-value=0.000, and y=9.08+0.91x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 107? Use a significance level of 0.05.