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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 government agency computed the proportion of U.S. residents who lived in each of four geographic regions in a particular year. Then a simple random sample was drawn of 1000 people living in the United States in the current year. The following table presents the results. Region Past YearProportion ObservedCounts Northeast 0.171 150 Midwest 0.245 235 South 0.357 398 West 0.227 217 Send data to Excel Can you conclude that the proportions of people living in the various regions changed between the current year and the past year? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. What the P value?atched Ani... 00Watch Invincible S... You can retry this question below ▼ Part 1 of 4 One study indicates that the number of televisions that American households have is distributed as in the following table. Percent of U.S. Households that Own Certain Number of TVs Number of TVs Percent of Households 0 1 2 3 4+ 0 1 2 3 4+ A random sample of 544 households in North Dakota resulted in the data in the following table. Number of TVs Reported Owned by 544 households in North Dakota Number of TVs At the 4% significance level, does it appear that the distribution "number of televisions" of households in North Dakota is different from the distribution for U.S. households as a whole? Step 1: State the null and alternative hypotheses. Number of TVs 0 Pokemon Jigglypu... Number of Households Ho: The distribution of the number of televisions in households in North Dakota matches the distribution of households in United States as a whole. ✓ 1 H₂: The distribution of the number of televisions in…
- When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinneAn article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)
- A company produces scooters used by small businesses that find them convenient for making short deliveries. The company is notified whenever a scooter breaks down, and the problem is classified as being either mechanical or electrical. The company then matches the scooter to the plant where it was assembled. The data table to the right contains a random sample of 200 breakdowns. Use the data file and the relative frequency assessment method to complete parts a through c. Electrical Mechanical Total Plant 1 21 52 73 Plant 2 74 53 127 Total 95 105 200 a. What is the probability a scooter was assembled at Plant 2? P(Plant 2) = (Type an integer or a decimal.) b. What is the probability that a scooter breakdown was due to a mechanical problem? P(mechanical) =D(Type an integer or a decimal.) c. What is the probability that a scooter breakdown was due to an electrical problem and the scooter was assembled at Plant 2? P(electrical and Plant 2) = (Type an integer or a decimal.)Presidents, Popes, Monarchs Listed below are numbers of years that U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. Assume that the data are samples randomly selected from larger populations. Test the claim that the three samples are from populations with the same median.Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 equals smooth-yellow, 2 equals smooth-green, 3 equals wrinkled yellow, and 4 equals wrinkled-green. a. The range of the sample data is (Type an integer or a decimal. Do not round.) b. the standard deviation of the sample data is (Round to one decimal place as needed.) c. The variance of the sample data is (Round to one decimal place as needed.)
- show stepsA sociologist is interested in the opinion of Minnesota teachers on the recent labor union law passed by Wisconsin lawmakers. a. What is the experimental unit? b.What is the population? c.What are the variables relevant to this study? Classify them as continuous, discrete, nominal, or ordinal. d. Explain how you would select a sample for this study. Explain pros and cons of your method.The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Time Number of Accidents Time Number of Accidents 8 up to 9 a.m. 10 1 up to 2 p.m. 11 9 up to 10 a.m. 9 2 up to 3 p.m. 12 10 up to 11 a.m. 12 3 up to 4 p.m. 7 11 up to 12 p.m. 6 4 up to 5 p.m. 11 Click here for the Excel Data File Using the goodness-of-fit test and the 0.10 level of significance, determine whether the accidents are evenly distributed throughout the day. H0: The accidents are evenly distributed throughout the day.H1: The accidents are not evenly distributed throughout the day. a. State the decision rule, using the 0.10 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 3 decimal places.) c. What is your decision regarding H0?