Q1 A food services manager for a baseball park wants to know if there is a relationship between gender (male or female) and the preferred condiment on a hot dog. The following table summarizes the results. Test the hypothesis with a significance level of 5%. Condiment Ketchup Mustard Relish Gender Male 16 24 8 Female 24 18 10
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- Women athletes at UČLA have a long-term graduation rate of 96%. Over the past several years, a random sample of 40 women athletes at UCLA showed that 37 eventually graduated. Do the data indicate that the population proportion of women athletes who graduate from UCLA is now less than 96%? Use a 5% significance level. You must identify the following in your answer in order to receive credit. Upload your response 1. State Ho and H1 2. Find the test statistic z (Round to two decimal places) 3. Find the p-value (Round to four decimal places) 4. Indicate the calculator key you used. 5. Do you reject Ho or fail to reject Ho? 6. State your conclusion: Upload Choose a File « Previous NextQ: An online bookseller is considering selling an e-reader but will do so only if they have evidence that the proportion of customers who will likely purchase one is more than 0.4. Of a survey of 25 customers, 8 of them stated that they would likely purchase an e-reader. What should the bookseller do? Use a 5% significance level.Chi-sauare distribution table Question Viewer Degrees of Freedom 1 234569 7 8 10 0.995 0.010 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 0.99 0.020 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 Area to the Right of the critical value 0.975 0.001 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 0.95 0.004 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.325 3.940 I 0.90 0.016 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 0.10 2.706 4.605 6.251 7.779 9.236 10.645 12.017 13.362 14.684 15.987
- Z?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 0.01 significance level, test the claim that injuries are independent of helmet color. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries…Find the test statistic and p value
- A survey asked students for their college and their satisfaction with their program. The results are provided in the tables below. Determine if there is a relationship between college and satisfaction at the 0.05 level of significance. Satisfied Not Satisfied Arts and Sciences 5 2 Education 6 1 Technology 14 12 Business 18 12 Health Profession 10 4 Social and Behavioral Sciences 8 12 H0: College and Satisfaction are independent. H1 : College and Satisfaction are dependent. Determine the p-value. What is the correct decision for this test? What is your conclusion, in context? Explain your reasoning.A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null…B? please
- The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).Q3.3 Normal, but why? A meal package for use at the space station is to be prepared by combining three separate components: protein, fruit/vegetable, and grains. Each of the components is to be randomly selected. Summary values for the caloric content for each of the components are given in the table. Component Protein (P) Fruit/vegetable (F) Grain (G) Mean (calories) 120 55 84 Stdv (calories) 6.4 Save Answer 1.0 3.6 Assume that the distributions of caloric content for each of the components are approximately normally distributed. Since the meal package consists of protein, fruit/vegetable, and grains, the total caloric content of a meal package is the random variable T, where T = P + F + G. Briefly explain why it is appropriate to say that T is approximately normally distributed. Q3.4 Probability Less than 275 Calories On your own piece of paper find the approximate probability that a randomly selected meal package will have less than 269 calories? (Draw an appropriate diagram, find a…Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Guilty Plea Not Guilty Plea Sent to Prison 418 48 Not Sent to Prison 558 43