The manager of the dairy section of a Superstore in Regina feels that at least 10% of the egg cartons have at least one broken egg. She took a random sample of 250 egg cartons and found that 40 cartons had at least one broken egg. At a = 0.05, can we conclude the manager is correct?
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- A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children is used for the experiment. First, a baseline of the number of times the children brush their teeth over a month’s period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded: Subject 1 2 3 4 5 6 7 8 After Film 28 29 25 30 25 27 28 24 Baseline 25 28 22 30 26 24 25 22 What is the nondirectional alternative hypothesis? df = ∑ D2 = __ Dobt = µD = SSD =A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster.A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast.. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: О Но:р 0.705 (claim) Но: р > 0.705 HA:p < 0.705 (claim) О Но: р — 0.705 HA:P + 0.705 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. O There is not enough evidence to reject the claim that the proportion that skip…
- An automobile owner found that 20 years ago, 76% of Americans said they would prefer to purchase an American automobile. He believes that the number is much less than 76% today. He selected a random sample of 56 Americans and found that 38 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 76% if a=0.01?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.)A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 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. I need help with sketching, (d) and (e)
- According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to iKris works for the MESA Air Pollution Study at UW, and studies the correlation be- tween air pollution and the disease atherosclerosis. Nationally, 40% of adults suffer from atherosclerosis. Kris suspects that the proportion of people with atherosclerosis in high- pollution areas is higher. In a random sample of 600 residents of high-pollution areas, he finds that 270 (45%) subjects have atherosclerosis. At the 1% level (α = .01), is this good evidence that people in high-pollution areas are more likely to have atherosclerosis? (a) Which of the following is the Ha ? (research claim or alternate) A. Ha : p ≥ 0.40 B. Ha : pb ≥ 0.40 C. Ha : p > 0.40 D. Ha : p > b 0.40 E. Ha : p > b 0.45 F. Ha : p > 0.45 G. Ha : pb ≥ 0.45 H. Ha : p ≥ 0.45 I. None of these Hint: First read the problem and using my notes (or Hawkes) for 9.1, set up H0 and Ha . Then pick the right Ha from the above list. Dont try to guess the answer from the above list. (b) Which of the…To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
- A group of statisticians decides they will answer the question: Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park? They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible. They decide they will collect the sample during the winter, the time the elk herds are most stressed. They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd. They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy. They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what kind of random sampling did the statisticians use?According to a job website, each job opening on average attracted 250 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer unemployed workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each job opening. Their answers are shown in the accompanying table. Using a = 0.05, complete parts a through d. Click the icon to view the data on résumés received. a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Ho: H₁: (Type integers or decimals. Do not round.)An industrial-organizational psychologist is interested in discovering the relationship between the tempo of preferred music that is played in a workplace and employee mood. Employees chose their favorite song on an MP3 player and then reported their moods when listening to that piece of music. A total of 10 participants were asked individually and brought in their own MP3 players; the least number of songs on an employee's MP3 player was 350. The sample data are presented as a scatterplot below. The psychologist wants to use a Pearson correlation coefficient to analyze the relationship. Considering the assumptions for this statistic, which of these statements is the correct course of action? A. The researcher has chosen the wrong statistic to represent this relationship. B. The researcher has violated a robust assumption and should be able to calculate r. C. The researcher has chosen the right statistic because all the assumptions are valid. D. The researcher has violated a…