A random sample of 16 housewives indicates that 11 prefer brand A and 5 prefer brand B. Does the above data truly reflect a preference for brand A? Test this at level 0.02
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A random sample of 16 housewives indicates that 11 prefer brand A and 5 prefer brand B. Does the above data truly reflect a preference for brand A? Test this at level 0.02
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- A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities." Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below: А. Họ: p = value for areas without nuclear facilities Hạ: p> value for areas without nuclear facilities According to the spokesperson's statement, what is the conclusion of the National Cancer Institute? Select one of the following: Reject Ho Fail to reject Ho Reject Ha Fail to reject HaA research poll was conducted to investigate opinions about global warming. The respondent who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results for two age brackets are given in the table below. Human Activity Natural Patterns Don't know Under 30 108 41 7 65 and over 121 71 43 a. At the 1% significance level, test the claim that age bracket is independent of the choice for global warming. State the null and alternate hypothesis, find the test statistic and p-value, and state the decision. b. Do respondents from both age brackets appearto agree, or is there a substantial difference? What distribution is used to do the hypothesis testing? What is different about this C. distribution?
- According to the U.S. Department of Transportation’s Air Travel Consumer Report, the nation’s 12 largest airlines recorded an on-time arrival percentage of 77.4% in 2001. Of interest is to estimate the mean delay time for the 22.6% of all flights that did not arrive on time during 2013. A simple random sample of 28 late arriving flights was selected, and the mean delay time of this sample of 28 flights was 14.2 minutes, with a sample standard deviation of s= 6.4 minutes. Use this information to calculate and interpret a 98% confidence interval for the mean delay time for all flights that did not arrive on time during 2013.A manufacturer ran an experiment to compare the wearing qualities of two different types of automobile tires, A and B. In the experiment, a tire of Type A and one of the type B were randomly assigned and mounted on the rear wheels of each of five cars. the cars were then operated for x miles and the amount of tire wear was recorded (higher number represents more wear). Is there sufficient evidence to conclude that there is a difference in the average wear? Use 0.05 level of significance. Tire A 10.6 9.8 12.3 9.7 8.8 Tire B 10.2 9.4 11.8 9.1 8.3What social media tools do marketers commonly use? Researchers surveyed marketers who commonly use an indicated social media tool. Surveyed were B2B marketers, marketers focusing primarily on attracting businesses, and B2C marketers, marketers targeting consumers. Suppose the survey was based on 500 B2B and 500 B2C marketers and yielded the results in the table below. For each social media tool, at the 0.05 level of significance, determine whether there is a difference between B2B marketers and B2C marketers in the proportion who used each social media tool. Social Media Tool B2B B2CA 84% 91%B 84% 76%C 82 % 61%D 39% 53% What is the p-value for the test statistic and interpretation? For Tool B determine the test statistic. What is Tool B p-value 12. EOC
- A 2018 Gallup poll found 20% of adults aged 18 - 29 years vape. Test the claim that the proportion of 18 - 29 year old people who vape has decreased at the 5% significance level. A July 2021 Gallup poll resulted in 17% of the 1,007 of people that age vape.An educator believes that the proportion of finance majors seeking to earn an MBA degree equals the proportion of management majors seeking to earn an MBA degree in the population. A random sample of 100 finance majors is taken and 24 indicate that they will seek to earn an MBA degree. Likewise, a random sample of 400 management majors is taken and 65 indicate that they will seek to earn an MBA degree. Using this information, test the educator’s claim at the 0.05 levelA random sample of 1100 potential voters was randomly divided into 2 groups. Group 1: 500 potential voters; no registration reminders sent; 248 registered to vote Group 2: 600 potential voters; registration reminders sent; 332 registered to vote Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not? Use a 1% level of significance.
- A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 41 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 50 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 5.7. From previous studies, it is known that ?1 = 1.6 and ?2 = 1.5. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. (a) What is the level of significance? .05 State the null and alternate…Primary seat belt laws allow police to stop a motorist for not wearing a seat belt. According to the National Highway Traffic Safety Administration, the percentage of drivers wearing seat belts in the Limpopo province was 68.5% in 2017 and 72% in 2018. Assume that these percentages are based on random samples of 1000 drivers in 2017 and 1050 in 2018. Suppose you must test at 5% level of significance whether the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. 1 Questions I) Determine the alternative hypothesis to be tested: II) Determine the value of test statistic: III) Determine the p-value for this problem: IV) the conclusion Since Z=-1.734 is greater than Z subscript 0.05 end subscript equals negative 1.645, we then reject the null hypothesis at 5% level of significance and conclude that the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. b) Since Z=-1.734 is less…The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"
