Salma is testing Họ: ps0.10 versus Ha p>0.10 using a significance level of 0.05. The p-value of the test is 0.02. If the true value of p is 0.09, the conclusion results in a
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- What is meant by the sample space of an experiment?Select a significance level α and reject the null-hypothesis if the p-value is less than α. Explain, in complete sentences, your findings: Is there a statistically significant association (at α level) between the provided genes? What is the magnitude and the direction of the association?If a hypothesis is rejected at significance level α = 0.01, is it possible that the hypothesis is not rejected if the same test was done at significance level α = 0.05 (with everything else staying the same)?
- An ice-cream manufacturer asked you to determine if a person's choice of ice-cream flavour is dependent on age variability. To do this, you conduct a Chi-square hypothesis test with a calculated test statistic of 12.1812 and a critical value of 15.057 at a 5% significance level. Using the information provided, how would you advise the ice-cream manufacturer? Choosen one: A. Reject the null hypothesis, ice-cream choice does not depend on age variability. B. Do not reject the null hypothesis, ice-cream choice depends on age variability. C. Reject the null hypothesis, ice-cream choice depends on age variability. D. Do not reject the null hypothesis, ice-cream choice does not depend on age variabilityA study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Number of Cigarettes Smoked per Day 0 1–14 15–34 35 and over Wear Seat Belts 165 25 40 12 Don't Wear Seat Belts 151 14 41 5In order to investigate a claim that the average time required for the county fire department to respond to a reported fire is greater than 15 minutes, county staff determined the response times for 40 randomly selected fire reports. The data was used to test H0H0: μ = 15 versus HaHa: μ > 15 and the computed P‐value was 0.12. If a 0.05 level of significance is used, what conclusions can be drawn? There is convincing evidence that the mean response time is 15 minutes (or less). There is convincing evidence that the mean response time is greater than 15 minutes. There is not convincing evidence that the mean response time is greater than 15 minutes.
- To compare the wearing of two types of automobile engines, 1 and 2, an experimenter chose to "pair" the measurements, comparing the wear for the two types of engines on each of 7 automobiles, as shown below. Determine whether these data are sufficient to infer at the 10% significance level that the two types of engines wear differently. The null and alternative hypotheses are:A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Number of Cigarettes Smoked per Day 0 1–14 15–34 35 and over Wear Seat Belts 169 29 39 10 Don't Wear Seat Belts 153 24 34 11 a) determine the null and alternative hypothesis. b) what is the test statistic? c) whst is the P-value? d) use a significance level of 0.05 to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this…Do adults (age 20–45) with children and adults without children have the same distribution of type of vehicle that is driven? In a large city, 130 randomly selected adults with children and 170 randomly selected adults without children were asked which type of car best describes the vehicle they primarily drive: car, truck, van, or SUV. A significance test will be conducted using the data to determine if there is convincing evidence at α = 0.05 that the distribution of type of vehicle driven differs between adults (age 20–45) with children and adults without children. What are the hypotheses for this test? H0: There is in the distribution of vehicle type driven between adults (aged 20–45) with children and adults without children. Ha: There is in the distribution of vehicle type driven between adults (aged 20–45) with children and adults without children.
- A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.05 significance level, test the claim that injuries are independent of helmet color.The test score data from the sample of trainees are as follows: 1. Was the knowledge (test score) of participants from class A and class B before training less than 65? Use the significance level = 0.05, and assume that the variances of the two classes are the same.