A test is made of 4: U =20 versus A,: # 20. A sample of size "= 3) is drawn, and X = 18. The population standard deviation is 0 = 8. (a) Compute the value of the test statistic Z, (b) Is No rejected at the a = 0.10 level? (c) Is No rejected at the a = 0.05 level? Part 1 of 3 V (=) Compute the value of the test statistic. Round the answer to at least two decimal places. -1.85 Part: 1 / 3 Part 2 of 3 Choose the correct type of hypothesis test. Then find the critical values for o = 0.10 and a = 0.0), Round your answers to three decimal places, if necessary. Critical Values for 0 = 0.10 Critical Values for 0 = 0.05 O Left-tailed O Right-tailed Two-tailed and andIf P = 0.02, the result is statistically significant at the a = 0.01 level. The statement is (Choose one) Part 2 of 4 IF P = 0.02, the null hypothesis is rejected at the @ = 0.01 level. The statement is (Choose one) Part 3 of 4 If P = 0.02, the result is statistically significant at the a = 0.10 level. The statement is (Choose one) Part 4 of 4 If P = 0.02, the null hypothesis is rejected at the a = 0.10 level. The statement is (Choose one)Facebook: A study showed that two years ago, the mean time spent per visit to Facebook was 20.) minutes, Assume the standard deviation is = 7.0 minutes. Suppose that a simple random sample of 104 visits was selected this year and has a sample mean of X = 21.0 minutes. A social scientist is interested to know whether the mean time of Facebook visits has changed. Use the @ = 0.10 level of significance and the F-value method with the TI-84 calculator, (2) State the appropriate null and alternate hypotheses. (b) Compute the P-value. (c) State a conclusion. Use the @ = 0.10 level of significance. Part 1 of 4 V () State the appropriate null and alternate hypotheses. Ho: u = 20.5 H: L = 20.5 This hypothesis test is a two-tailed test. Part: 1 / 4 Part 2 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. P-value =