When the following hypotheses are being tested at a level of significance of a Họ: u25 H. u< 500 500 the null hypothesis will be rejected if the p-value is Select one: O a> a/2 O b. >a O c.sl- a/2 O d.sa ge Next page fin Chapter 8 a.docx Chapter 8 assig.docx Chapter 4.docx Assignment d
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- The null hypothesis H0 maintains the status quo, while the alternate hypothesis Ha seeks to change the status quo. Label the pair members as null or alternate hypotheses.Suppose an engineering firm is asked to check the safety of a dam. A) What kind of mistake would be made if the Ho (null hypothesis) that the dam is safe is wrongly rejected? B) What kind of mistake would be made if the Ho that the dam is safe is wrongly accepted?To provide support for a hypothesis, one must a. reject the null hypothesis b. affirm the consequent c. accept the null hypothesis d. use very large samples
- If I conduct a hypothesis testing with Type I error set at 0.05 and a resulting p-value of 0.3, what would my conclusion be?After a researcher states an alternative hypothesis, the null hypothesis would be stated in a way that makes the two hypotheses ________ and ________. assumed; independent equal; independent all-inclusive; mutually exclusive equal; robustAssuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ=60 seconds H1: μ≠60 seconds B. H0: μ=60 seconds H1: μ<60 seconds C. H0: μ=60 seconds H1: μ>60 seconds D. H0: μ≠60 seconds H1: μ=60 seconds Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)
- A 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 ≠ 0.5The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. State the null hypothesis H0 and the alternate hypothesis H. np? nq? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? Interpret your conclusion in the context of the application.