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- A study of cats and dogs found that 29 of 50 cats and 19 of 50 dogs slept more than 10 hours per day. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportions of cats and dogs that sleep more than 10 hours per day?If 26 of 200 tires of brand A failed to last 30,000 miles,whereas the corresponding figures for 200 tires of brands B, C, and D were 23, 15, and 32, test the null hypothe-sis that there is no difference in the durability of the four kinds of tires at the 0.05 level of significance.A random sample of857births included434boys. Use a 0.01significance level to test the claim that 51.4% of newborn babies are boys. Do the results support the belief that 51.4% of newborn babies are boys?
- The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown in the excel worksheet. Predict the midterm grade if the prelim grade is 85.According to the National Center for Health Statistics (2004), 22.4% of adults are smokers. A random sample of 300 adults is obtained. Subquestion: What would the minimum number of adults need to be in order to ensure the sampled values are independent of each other?According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
- A research center claims that at least 27% of U.S adults think that the IRS will adult their taxes. In a random sample of 1000 U.S adults in a recent year 23% say they are concerned that the IRS will adult their taxes. At x=0.01, is there enough evidence to reject the center's claim?A cigarette-manufacturing firm distributes two brands of cigarettes. If it is found that 56 of 200 smokers prefer brand A and 29 of 150 smokers prefer brand B, can we conclude at the .05 level of significance that brand A outsells brand B?Calculate a point estimate of the strength valuethat sep arates the weakest 50% of all such beamsfrom the strongest 50%, and state which estimatoryou used.
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