Find the critical values x 1-a/2 and x@/2 for a 99% confidence level and a sample size of n= 30. . . . x21-a/2 = (Round to three decimal places as needed.) X a /2 = 0 (Round to three decimal places as needed.)A simple random sample of size n = 300 individuals who are currently employed is asked if they work at home at least once per week. Of the 300 employed individuals surveyed, 44 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week. The lower bound is (Round to three decimal places as needed.) The upper bound is (Round to three decimal places as needed.)Fill in the blank to complete the statement. If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type error If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type error.The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Ho: 6 = 110 H1: 5 > 110 Is the hypothesis test left-tailed, right-tailed, or two-tailed? O Two-tailed test O Left-tailed test O Right-tailed test What parameter is being tested? O Population standard deviation Population proportion Population meanState the conclusion based on the results of the test. According to the report, the mean monthly cell phone bill was $48.66 three years ago. A researcher suspects that the mean monthly cell phone bill is less today. The null hypothesis is not rejected. Choose the correct answer below. O A. There is sufficient evidence to conclude that the mean monthly cell phone bill is different from its level three years ago of $48.66. O B. There is sufficient evidence to conclude that the mean monthly cell phone bill is less than its level three years ago of $48.66. O C. There is not sufficient evidence to conclude that the mean monthly cell phone bill is less than its level three years ago of $48.66.Determine the critical value for a left-tailed test regarding a population proportion at the 0.5 n = 200; x =120; o =0.1 Click here to view page 1 of the table. Click here to view page 2 of the table. ZO= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. O A. Do not reject the null hypothesis, because the P-value is greater than a. O B. Reject the null hypothesis, because the P-value is greater than a. O C. Reject the null hypothesis, because the P-value is less than a. O D. Do not reject the null hypothesis, because the P-value is less than a.Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the o = 0.05 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the o = 0.10 level of significance based on a sample size of n = 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the o = 0.10 level of significance based on a sample size of n = 11. Click here to view the t-Distribution Area in Right Tail. (a) terit 'Round to three decimal places as needed.) (b) terit = (Round to three decimal places as needed.) (c) terit = (Round to three decimal places as needed.)To test Hg: p = 50 versus H1: p 4: 50, a random sample of size n: 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. a Click here to view the tDistribution Area in Right Tail. {a} If i =46.2 and s = 13.9, compute the test statistic. tD : (Round to three decimal places as needed.) {b} If the researcher decides to test this hypothesis at the it: 0.05 level of significance, determine the critical value(s). Although tec hnologglr or a tdistribution table can be used to find the critical value, in this problem use the tdistribution table given. mmej [Round to three decimal places. Use a comma to separate answers as needed.) {1:} Draw a tdistribution that depicts the critical region. Choose the correct answer below. OA 05 on Q Q 9,9 To test Ho: 6= 1.4 versus H1: o