3. [0/4.28 Points] DETAILS PREVIOUS ANSWERS ASWESBE9 9.E.010. You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: 25 Ha: M > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At = 0.01, state your conclusion. Reject Ho. There is sufficient evidence to conclude that > 25. Reject Ho. There is insufficient evidence to conclude that > 25. Do not reject Ho. There is sufficient evidence to conclude that > 25. Do not reject Ho. There is insufficient evidence to conclude that > 25. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic < test statistic > State your conclusion. Reject Ho. There is sufficient evidence to conclude that > 25. Reject Ho. There is insufficient evidence to conclude that > 25. Do not reject Ho. There is sufficient evidence to conclude that > 25. Do not reject Ho. There is insufficient evidence to conclude that > 25. 4. [-/4.28 Points] DETAILS ASWESBE9 9.E.021. DATAfile: Fowle MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix table or technology to answer this question. Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. A sample of 35 surveys from a particular client provided the survey times shown in the file named Fowle. Based upon past studies, the population standard deviation is assumed known with = 4 minutes. Is the premium rate justified for this client? 17 11 12 23 20 23 15 16 23 22 18 23 25 14 12 12 20 20 18 12 19 11 11 20 21 21 11 18 14 13 113 13 19 16 10 10 22 22 18 23 (a) Formulate the null and alternative hypotheses for this application. Ho: A = 15 Ha 15 Ho: > 15 Ha: M 15 : > 15 H : < 15 Ho: < 15 > 15 Ho: M 15 Ha M > 15 (b) Compute the value of the test statistic. (Round your answer to two decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a 0.01, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the premium rate should be charged. Reject Ho. There is insufficient evidence to conclude that the premium rate should be charged. Reject Ho. There is sufficient evidence to conclude that the premium rate should be charged. Do not reject Ho. There is insufficient evidence to conclude that the premium rate should be charged. 5. [-/4.28 Points] DETAILS ASWESBE9 9.E.029. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix table or technology to answer this question. On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.38 9.08 11.7 6.4 12.32 14.43 15.46 10.02 14.4 16.08 17.5 19.08 17.88 12.75 16.7 17.25 15.54 14.7 18.81 17.89 14.8 18.32 15.95 26.75 22.22 22.66 20.88 23.35 18.95 23.6 19.16 23.65 27.7 26.95 27.04 26.89 24.58 37.76 26.41 38.91 29.36 41.55 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for as needed.) Ho Ha (b) What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.) (c) At = 0.05, can your null hypothesis be rejected? What is your conclusion? Do not reject Ho. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa. Reject Ho. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa. Reject Ho. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. Do not reject Ho. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for as needed.) Ho H: Find the value of the test statistic. (Round your answer to three decimal places.) State the critical values for the rejection rule. Use = 0.05. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic test statistic State your conclusion. Do not reject Ho. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa. Reject Ho. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa. Reject Ho. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. Do not reject Ho. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. 7. [-/4.32 Points] DETAILS ASWESBE9 9.E.075. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix table or technology to answer this question. According to Inc.com, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. Suppose a survey of 22- to 30-year-old job seekers showed that 308 of the 370 respondents use social media in their job search. In addition, 283 of the 370 respondents indicated they have electronically submitted a resume to an employer. (a) Conduct a hypothesis test to determine if the results of the survey justify concluding the proportion of 22- to 30-year-old job seekers who use social media in their job search exceeds the proportion of the population that use social media in their job search. Use = 0.05. State the null and alternative hypothesis. (Enter != for # as needed.) Ho Ha Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We cannot conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches. Reject Ho. We can conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches. Do not reject Ho. We can conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches. Do not reject Ho. We cannot conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches. (b) Conduct a hypothesis test to determine if the results of the survey justify concluding that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Using = 0.05, what is your conclusion? State the null and alternative hypothesis. (Enter != for # as needed.) Ho Ha Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho We cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Reject Ho. We can conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Do not reject Ho. We cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Do not reject Ho. We can conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.