Good Evening,

I have some question's I need answers for please.

1.) Part 2?

A test is made of HI]: p. = 20 versus H1: psi: 20. A sample of size n = 53 is drawn, and E = 13. The population standard deviation iso=8. (a) Compute the value of the test statistic z. (b) Is HI] rejected at the u = 0.05 level? ((2) Is H0 rejected at the o.= 0.01 level? (a) Compute the value of the test statistic. Round the answer to at least two decimal places. F- Choose the correct type of hypothesis test. Then nd the critical values for o: = 0.05 and o: = {1.01. Round your answers to three decimal places, if necessary. O Lefttailed D D O Righttailed D D Q Twotailed D and D D and D A test of Ho: u = 53 versus H, : u # 53 is performed using a significance level of a = 0.05. The value of the test statistic is Z = -1.97. Part 1 of 3 Determine whether to reject Ho. Since the test statistic is in the critical region, we reject Ho at the a = 0.05 level. Part: 1 / 3 Part 2 of 3 If the true value of u is 53, is the result a Type I error, a Type II error, or a correct decision? The result is a (Choose one) correct decision X 5 Type I error Type II errorFaeehook: A study showed that two years ago, the mean time spent per visit to Facebook was 19.9 minutes. Assume the standard deviation is o = 6.0 minutes. Suppose that a simple random sample of 103 visits was selected this year and has a sample mean of I = 20.9 minutes. A social scientist is interested to know whether the mean time of Facebook visits has increased. Use the a = {1.01 level of signicance and the Pvalue method with the TI84 calculator. (a) State the appropriate null and alternate hypotheses. {b} Compute the Fvalue. (E) State a conclusion. Use the :1 = 0.01 level of signicance. (a) State the appropriate null and alternate hypotheses. H0: p = 19.9 H1: p > 19.9 This hypothesis test is a righttailed 1' test. (b) Compute the Pvalue. Round the answer to at least four decimal places. Pvalue = D Calibraling a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the Naonal Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be (I = 3.2. They weigh mis weight on the scale 58 mes and read the result each time. The 58 scale readings have a sample mean of I = 1000.? grams. The calibration point is set too high if the mean scale reading is greater than 1000' grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too high. Use the a: 0.10 level of signicance and the Pvalue method with me TI84 calculator. State the appropriate null and alternate hypotheses. This hypothesis testis a righttailed 1' test. Find the Pyalue. Round the answer to at least four decimal places. Pvalue = D House prices: Data from the National Association of Realtors indicate that the mean price of a home in Denver, Colorado, in 2012 was 260.? thousand dollars. A random sample of T1 homes sold in 2013 had a mean price of 286 thousand dollars. Can you conclude that the mean price in 2013 differs fnorn the mean price in 2012? Assume the population standard deviation is o = 132. Use the 11: 0.10 level of signicance and the Pvalue method with the TI84 calculator. State the appropriate null and alternate hypotheses. Compute the Pvalue. Round the Pvalue to at least four decimal places. Pvalue = [:1 Interpreting calculator display: The following \"Fl84 Plus display presents the results of a hypothesis test. p at 50 z = 1.4T3363499 P = .1406531165 =5L52 n=T What are the null and alternate hypotheses? What is the value of me test statistic? Enter the value to the full accuracy shown (do not round). Fm Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She nds that a random sample of 50' people had a mean FICO score of T65 with a standard deviation of 98. Can the economist conclude that the mean FICD score is greater than 720? Use the a: 0.01 level of signicance and the Pvalue method with the 1184 Plus calculator. State the appropriate null and alternate hypotheses. H0: '1 = 720 H1: '1 > 720 This hypothesis test is a righttailed 'I' test. Compute the Pvalue. Round the answer to at least four decimal places. Pvalue = B Weight loss: In a study to determine whether counseling could help people lose weight, a sample of people experienced a groupbased behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 14 people. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than 17 pounds. Use the r: = 0.01 level of signicance and me Pvalue memod wim the 1184 Plus calculator. 20.8 210 6.1 22.5 19.5 11.2 16.0 19.5 35.9 32.3 10.7 34.3 21.9 1?.7 SenddalatoEmel (a) State the appropriate null and alternate hypotheses. H]: p > 1? This hypothesis testis a righttailed 1' test. {b} Compute the Pvalue. Round die answer to at least four decimal places. Pvalue = D Commuting to work: A community survey sampled 1923 people in Colorado and asked them how long it took them to commute to work each day. The sample mean oneway commute time was 24.? minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is less than 25 minutes. Do the data provide convincing evidence that the engineer's claim is hue? Use the 11: 0.10 level of signicance and the critical value method with the o Critical Values for the Student's t Distribution Table. (a) State the appropriate null and alternate hypotheses. H]: p. 35000 This hypothesis test is a right-tailed V test. Part: 1 / 5 Part 2 of 5 Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas. Critical value(s) :In a simple random sample of size 57, there were 45 individuals in the category of interest. A (a) Compute the sample proportion 15!. Round the answer to at least three decimal places. The sample proportion is 0.739 . Spam: A researcher reported that 71.8% of all email sent in a recent month was spam. A system manager at a large corporation believes that the percentage at his company may be 77%. He examines a random sample of 500 emails received at an email server, and finds that 362 of the messages are spam. Can you conclude that less than 77% of emails are spam? Use both a = 0.05 and a = 0.10 levels of significance and the critical value method with the table. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: P = 0.77 H1 : P