Identification/Observation 1. How is a statistical hypothesis best defined? Statistical hypothesis is testing inferences that would be predicted based on data that is given from a population. 2. According to the reading, what do large values of typically lead to? 3. Based on the value obtained from the rhino data, would you reject or fail to reject the null hypothesis that the sex ratio is 1:1? Explain your reasoning.
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In this case, the mentioned paragraph is about Hypothesis Testing and Chi-square test.
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sample?A. n = 23B. n = 22C. n = 21D. n = 20E. cannot be determined from the information givenWhich of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.051? Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Fail to reject the alternative hypothesis
- Which of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.069? a) Reject the null hypothesis b) Fail to reject the null hypothesis c) Reject the alternative hypothesis d) Fail to reject the alternative hypothesisA researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 48. What critical value would she or he use? Justify your answer.The worldwide market share for a web browser was 20.1% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser. At the 0.01 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.1%? Determine the null and alternative hypotheses. A.H0: P≥0.201; H1: P<0.201 B.H0: P=0.201; H1: P≠0.201 C. H0: P≠0.201; H1: P=0.201 D. H0: P≤0.201; H1: P>0.201 ZStat=__ (Round to two decimal places) p-value=____ __A__ the null hypothesis. There is __B__ evidence to conclude that the market share at teh university is __C__ the worldwide market share of 20.1%. A: Reject or do not reject B: insufficient or sufficient C: at least, less than, equal to, at most, not equal to, greater than
- 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 test statistic of z=0.97 is obtained when testing the claim that p>0.5. a. Identify the hypothesis test as being two-tailed left or right b. Find the P-value c.using significant level of a=0.01, should we reject H0 or should we fail to rejA real estate broker recently took a sample of recently sold homes by her agents. The square footage of the 10 homes was as follows: a) 2420 1750 3200 2785 2800 1800 1950 2100 2005 2000 b) Is there evidence that the average home sold was greater than 2000 square feet? Make sure to state the null and alternative hypothesis and supporting output. Use a = .05.
- In a random sample, 12 of 14 industrial accidents weredue to unsafe working conditions. Use the 0.01 level ofsignificance to test the null hypothesis θ = 0.40 againstthe alternative hypothesis θ Z 0.40.A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive process, so it will be undertaken only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers. Let p denote the actual proportion of defective installations for the robots. It is known that the proportion of defective installations for human assemblers is 0.02. (a) Which of the following pairs of hypotheses should the manufacturer test? H0: p = 0.02 versus Ha: p < 0.02 or H0: p = 0.02 versus Ha: p > 0.02 Explain your answer. H0: p = 0.02 versus Ha: p < 0.02, as the conversion will only happen if the proportion of defective installations is higher for robots.H0: p = 0.02 versus Ha: p < 0.02, as the conversion will only happen if the proportion of defective installations is lower for robots. H0: p = 0.02 versus Ha: p > 0.02, as the conversion will only happen if the…