15. An educator claims that the average slary of substitute teachers in school districts in Allegheny Count Pennsylvania, is less than S00 per day. Sample variance of the following daily salaries (in dollars) is 25.8 60 56 60 55 70 55 60 55 Is there enough evidence to support the educator's claim at a -0.17 (a) State the mill and alternative hypotheses. MGO Hom -60 Ha im <60 (b) Compute the value of the test statistic. (c) Compute the critical value(s). (d) What is the p-value (or range of P-value)? What is your decision? (e) (f) What is your conclusion based on the problem?
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- As a result of complaints from both students and faculty about lateness, the registrar at a large university is ready to undertake a study to determine whether the scheduled break between classes should be changed. Until now, the registrar has believed that there should be 15 minutes between scheduled classes. What are the null and alternative hypotheses? H0: H1:4. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.9. A research center claims that 24% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not enter your response here %. B. No more than enter your response here % of adults in the country would travel into space on a commercial flight if they could afford it. C. At least…
- A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowA research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At a=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who would travel into space on a commercial flight if they could afford it is not ______%. B. No more than ______% of adults in the country would travel into space on a commercial flight if they could afford it. C. ______% of adults in the country would travel into space on a commercial flight if they could afford it. D. At least ______% of…7.4.1 A medical researcher says that less than 83% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 80% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) B. Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0= (Round to two decimal places as needed. Use a comma to separate answers as needed.) (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis…
- 9. An SRS of 45 male employees at a large company found that 36 felt that the company was supportive offemale employees. An independent SRS of 40 female employees found that 24 felt that the company wassupportive of female employees. Let pi = the proportion of all male employees at the company who holdthis opinion and p2 = the proportion of all female employees at the company who hold this opinion. Wewant to test the hypotheses H. :P. - P2=0, H,:. - P2 >0. The P-value for this test is 0.0217. Which of thefollowing is the correct conclusion using a=0.01?(a) Reject Ho. We have convincing evidence that the proportion of male employees who feel that thecompany is supportive of female employees is higher than the proportion of women who feel this way.(b) Reject H. We do not have convincing evidence that the proportion of male employees who feel that thecompany is supportive of female employees is higher than the proportion of women who feel this way.(c) Accept Ho. We do not have…A manufacturer of light bulbs may want to be reasonably certain that less than 3% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment. Each tested and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.03? State the hypotheses:1) A sample of n = 200 college students are asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test if more than half of college students believe in extraterrestrial life. a. State the null and alternative hypothesis. b. Give the P- value c. Give a conclusion for the hypothesis test
- 3a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are lower than for those in Dallas. Use α=0.05. Let Tampa be population 1. Tampa Dallas xbar 51900 53200 s 6000 6000 n 60 60 What is the value of the PvalueA company selling home furnaces claims that installingtheir new high efficiency furnace will “cut your heating bill in half.” A consumer agency collects data for a ran-dom sample of homes and plots this year’s heating costs with the new furnaces against previous costs with the oldfurnaces. Which are the most appropriate hypotheses totest the company’s claim?A) H0: b = 0, HA: b ≠ 0B) H0: b = 0, HA: b 7 0C) H0: b = 0, HA: b 6 0D) H0: b = 0, HA: b 6 0.5E) H0: b = 0.5, HA: b ≠ 0.5A research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. No more than nothing% of adults in the country would travel into space on a commercial flight if they could afford it. B. nothing% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not nothing%. D. At least nothing% of…