It is an area of statistical inference in which one evaluates a conjecture about some characteristics of the parent population based upon the information contained in the random sample. O a. Estimation O b. Rejection region O c. Acceptance region O d. Hypothesis testing O e. Sampling
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- Twelve different video games showing alcohol use were observed. The duration times of alcohol use were recorded, with the times (seconds) listed below. What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 80 sec? Are the requirements all satisfied? 84 14 556 48 61 195 42 192 0 2 55 .... . What requirements must be satisfied? Select all that apply. A. The sample observations must be a simple random sample. B. The conditions for a binomial distribution must be satisfied. C. At least one observation must be above or below 80 sec. D. Either the population is normally distributed, or n> 30, or both. Are the requirements all satisfied? O A. No. The sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there are no observations above 80 sec. B. Yes. A normal quantile plot suggests that the sample is from a normally distributed population, and there is enough information to…Which of the following statements is true about critical z? a. Critical z is a probability that spans the rejection area in the sampling distribution. b. Critical z is a standardized value that is determined by the chosen alpha level. c. Critical z is an unstandardized value that is determined by the chosen sample size. d. Critical z is a probability that is the same as the p-value of a test.Answer for this question
- 2association/independence goodness of fit homogeneityA researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey. Frequencies of Living Situation and Pet Family Single Couple Dog 98 81 81 Cat 104 76 73 Various 50 51 59 None 67 42 35 What can be concluded at the a = 0.05 significance level? %3D a. What is the correct statistical test to use? O Paired t-test O Independence O Goodness-of-Fit O Homogeneity b. What are the null and alternative hypotheses? Но: O Pet ownership and living situation are independent. O Pet ownership and living situation are dependent. O The distribution of pets is the same for each living situation. O The distribution of pets is not the same for each living situation. H1: O The distribution of pets is the same for each living situation. O Pet ownership and living situation are independent. O Pet ownership and living situation are dependent. O The distribution of pets is not the same for each living situation. (Please show your…The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 66 80 50 53 O Ho: Psun PMon PTue #Pwed * PThu * PFri * Psat * # # H₂: All proportions are equal. 48 (a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance. State the null and alternative hypotheses. Ho: : Not all proportions are equal. H₂: Psun * PMon * PTue * Pwed * PThu * PFri * Psat */ OH: Not all proportions are equal. Ha: Psun = PMon=PTue=Pwed=PThu = PFri = Pat = H₂ : Not all proportions are equal. = Ho: Psun PMon=PTue = Pwed=PThu Fri Sat = = 7 55 68 Find the p-value. (Round your answer to four decimal places.) p-value = Find the value of the test statistic. (Round your answer to three decimal places.) X State your conclusion. O Reject…
- ThanksUse the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. A popular urban legend is that more babies than usual are born during certain phases of the lunar cycle, especially near the full moon. Suppose that a certain paper classified births according to the lunar cycle. Data for a sample of randomly selected births, consistent with summary quantities in the paper, are given in the accompanying table. Lunar Phase Numberof Days Numberof Births New Moon 24 7,670 Waxing Crescent 152 48,442 First Quarter 24 7,589 Waxing Gibbous 149 47,814 Full Moon 24 7,711 Waning Gibbous 150 47,595 Last Quarter 24 7,733 Waning Crescent 152 48,240 Calculate the value of the Χ2 goodness-of-fit test statistic that could be used to determine if the distribution of number of births in each lunar phase is what would be expected based on the number of days in each phase. Use the value of the test statistic to…Need help please!
- Which of the following most accurately describes a statistical hypothesis test? a technique that uses population data to make inferences about an unknown sample statistic a technique that allows researchers to describe a known sample O a technique that allows researchers to describe a known population O O O O a technique that uses sample data to draw inferences about an unknown population parameter11:39 1 A myopenmath.com You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Category Frequency Frequency A 13 В 11 C 12 17 E 23 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than aDo men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown below. Frequencies of Breakfasts for Men and Women Pancakes Omelets French Toast 97 Waffles Men 45 99 73 Women 87 67 103 48 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Homogeneity O Independence O Goodness-of-Fit O Paired t-test b. What are the null and alternative hypotheses? Ho: O The distribution of breakfast ordered for men is the same as it is for women. O Breakfast ordered and gender are dependent. O The distribution of breakfast ordered for men is not the same as it is for women. O Breakfast ordered and gender are independent. H: O Breakfast ordered and gender are dependent. Breakfast ordered and gender are independent. O The distribution of breakfast ordered for men is not the same as it is for women. O The distribution of breakfast ordered for men is the same as it is for…