In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. WHat is the approrpiate null hypothesis for this problem?
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In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites.
WHat is the approrpiate null hypothesis for this problem?
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- Christine, a researcher in psychology and biobehavioral health, believes that city residents and residents of rural areas differ in how appealing they find owning a cat. A random sample of 109 people who live in San Antonio were surveyed and 59 identified themselves as a "cat person." A random sample of 108 people who live in the surrounding rural area were selected and 72 identified themselves as a "cat person." Conduct an appropriate hypothesis test at the a = 0.1 significance level to test Christine's claim. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho: ? ? ? ♥ H₁: ? b. What is the appropriate distribution to use for the hypothesis test? Select an answer ✓ ? ? ♥ c. Find the test statistic. Test Statistic: d. Determine the P-value: P-value: e. What decision results from the test? [Select an answerA local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier?A manager for an insurance company believes that customers have the following preferences for life insurance products: 30% prefer Whole Life, 30% prefer Universal Life, and 40% prefer Life Annuities. The results of a survey of 220 customers were tabulated. Is it possible to refute the sales manager's claimed proportions of customers who prefer each product using the data? Whole: 55Universal: 77 Annuities: 88 a). State the null and alternative hypothesis. b). What does the null hypothesis indicate about the proportions of customers who prefer each insurance product c). State the null and alternative hypothesis in terms of the expected proportions for each category. d). Find the expected value for the number of customers who prefer Whole Life, Universal Life, and Annuities. Round your answers to two decimal places. e). Find the value of the test statistic. Round your answer to three decimal places. f). Find the degrees of freedom associated with the test statistic for this…
- Acme Toy Company prints baseball cards. The company claims that 30% of the cards are Rookies, 60% Veterans but not All-Stars, and 10% are Veteran All-Stars. Suppose a random sample of 100 cards has 50 Rookies, 45 Veterans, and 5 Veterans All-Stars. Set-up a hypothesis test to test if this information is consistent with the Acme’s company claim? Use a 0.05 level of significance. Rookies Veterans Veterans All-Stars Observed 50 45 5 Expected 30 60 10Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 487 were in favor, 401 were opposed, and 117 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 117 subjects who said that they were unsure, and use a 0.05 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician's claim?1.In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 33 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) a) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. b) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and…
- In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 35 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part 1)State the distribution to use for the test. (Round your standard deviation to four decimal places.)P' ~_____ (____,____) Part 2) What is the test statistic? (Round your answer to two decimal places.) t or z=______ Part 3) What is the p-value? (Round your answer to…In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 35 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part 1) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)9
- In 2004, 68% of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC), CA, was randomly selected for comparison. In 2004, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents CA.†Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)Better than aspirin? A very large study showed thataspirin reduced the rate of first heart attacks by 44%. Apharmaceutical company thinks they have a drug that will be more effective than aspirin, and plans to do a random-ized clinical trial to test the new drug. a) What is the null hypothesis the company will use?b) What is their alternative hypothesis?They conducted the study and found that the groupusing the new drug had somewhat fewer heart attacksthan those in the aspirin group.c) The P-value from the hypothesis test was 0.28. Whatdo you conclude?d) What would you have concluded if the P-value hadbeen 0.004?Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 483 were in favor, 401 were opposed, and 120 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 120 subjects who said that they were unsure, and use a 0.10 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5.What does the result suggest about the politician's claim? A.dentify the null and alternative hypotheses for this test. B. Identify the P-value for this hypothesis test. C.Identify the conclusion for this hypothesis test.(reject or fail to reject and why?) D.Does the accuracy rate appear to be acceptable? (is there or is there not sufficent evidance to reject the claim and why?)