Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of 1 month. It then chose a sample of 405 television viewers and asked them whether they would be willing to pay an extra $10 per month to continue to access the channel. A total of 27 of the 405 replied that theyr would be willing to pay. The marketing director of the Company claims that more than 6% of all its subscribers would pay for the channel. Can you conclude that the director's claim is true? Use the u = 0.01 level of signicance and the Pvalue method with the table. (a) State the appropriate null and alternate hypotheses. H0: p at 0.06 H]: p > 0.06 This hypothesis test is a righttailed V test. EIl El=l This hypothesis test isa righttailed v test. ' (b) Compute the Pvalue. Round the answer to at least four decimal places. Pvalue = E] ---- 5 6 7--- Determine whether the alternate hypothesis is lefttailed, righttailed, or twotailed. Ho:|1=40 H1:p.#=40 The alternate hypothesis is twotailed Y . - ---- 3 '--- Determine whether the outcome is a Type I error, a Type II enur, or a correct decision. A test is made ufHD : 11:40 versus H1 :p.=!=40. The true value of u is 40, and H0 is rejected. The outcome of the test is a (Choose one) V . Testing, testing: An instructor believes that the mean time that students will spend on the take home test is 8 hours. A test is made of H0 : p = 8 versus H1 : p 4: 8. The null hypothesis is rejected. State an appropriate conclusion. There (Choose one) 1' enough evidence to conclude that the mean time spent is (Choose one) V 8 hours. College tuition: The mean annual tuition and fees for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? Use the u 2 0.01 level of signicance and the Pvalue method with the 1134 Plus calculator. (a) State the appropriate null and alternate hypotheses. Ho: E] H1: D This hypothesis test is a test. (b) Compute the value of the test statisc. Round the answer to two decimal places. mm ((2) Compute the Pvalue. Round the Pvalue to at least four decimal places. Pivalue = (d) Determine whether to reject Ha. the null hypothesis HO' (e) State a conclusion. There E enough evidence to conclude that the mean tuition and fees for private institutions differs from $35,000. Good credit: The Fair Isaac Corporation (FICD) 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 Iwhether the mean FICD score is more than the cutoff of 720. She nds that a random sample of 40 people had a mean FICO score of 760 with a standard deviation of 95. Can the economist conclude that the mean FICD score is greater than 720? Use the u = 0.01 level of signicance and the Pvalue method with the 1184 Plus calwlator. (a) State the appropriate null and alternate hypotheses. ENE] |:Il El=l HI: D This hypothesis test is a (choose one} Y test. (b) Compute the value of the test statisc. Round the answer to two decimal places. ((2) Compute the Pvalue. Round the answer to at least four decimal places. Pvalue = (d) Determine whether to reject H\". the null hypothesis H0. (e) State a mndusin. There (Choose one) V enough evidence to conclude that the mean FICO score is more than the cutoff of 720. 15 there a doclJor in the house? A market research rm reported the mean annual earnings of all family practitioners in the United States was $178,258. A random sample of 50 family practitioners in Los Angeles had mean earnings of ; = $192,920 with a standard deviation of $43,287. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles differs from the national average? Use the a: 0.05 level of signicance and the Pvalue method with the TI84 Plus calculator. (a) State the appropriate null and alternate hypotheses. ; E] Ell I:I=l H1 : D This hypothesis test is a test. (b) Compute the value of the test statisljc. Round the answer to two decimal places. 0:) Compute the Pvalue. Round the answer to at least fuur decimal places. Pivalue = \fIn a simple random sample of size 74, there were 36 individuals in the categoryr of interest. A (3) Compute the sample proportion p. Round the answer to at least three decimal places. The sample proportion is . (b) Are the assumptions for a hypothesis test satised? Explain. Yes V the number of individuals in each category is greater than V 10. - (c) It is desired to test H0 : p = 0.6 versus H] :p