A guidance counselor selected random samples of 25 ninth graders, 25 tenth graders, 25 eleventh graders, and 25 twelfth graders from her large high school. She asked each student whether they have a job. The results are displayed in the table. She decides to test these hypotheses: H0: There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Ha: There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. The conditions for inference are met. The chi-square test statistic is χ‑2 = 22.21. What conclusion should be made? Use α = 0.05. Find the chi-square table here. Because the P-value is less than α = 0.05, there is convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Because the P-value is less than α = 0.05, there is not convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Because the P-value is greater than α = 0.05, there is convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Because the P-value is greater than α = 0.05, there is not convincing evidence of a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

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The question is in the attachment

Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance?  H0:H0:  Select an answer μ p1-p2 μ1-μ2 μd p  Select an answer ≠ < > =  (please enter a decimal)     H1:H1:  Select an answer μ p1-p2 μd p μ1-μ2  Select an answer ≠ > = <  (Please enter a decimal) The test statistic ? z t  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90   (a) Conduct a test of independence to determine whether hours of sleep are independent of age.   State the null and alternative hypotheses. H0: Hours of sleep per night is not independent of age.Ha: Hours of sleep per night is independent of age.   H0: Hours of sleep per night is independent of age.Ha: Hours of sleep per night is not independent of age.       H0: The proportion of people who get 8 or more hours of sleep per…

A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1   19.2 19.3   (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT =   SSBET =   SSW =   Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET =   dfW =   MSBET =   MSW =   Find the value of the sample F statistic. (Round your answer to three decimal…

A businesswoman is considering whether to open a coffee shop in a local shopping center. Before making this decision, she wants to know how much money people spend per week at coffee shops in that area. She took a random sample of 26 customers from the area who visit coffee shops and asked them to record the amount of money (in dollars) they would spend during the next week at coffee shops. At the end of the week, she obtained the following data (in dollars) from these 26 customers: 16.63 38.63 15.14 14.47 5.01 63.64 10.19 13.28 32.25 36.00 16.19 65.91 10.28 37.14 3.22 6.92 34.65 6.40 36.35 27.59 38.67 13.18 9.80 9.48 1.21 5.19   Assume that the distribution of weekly expenditures at coffee shops by all customers who visit coffee shops in this area is approximately normal. Round your answers to cents.a. What is the point estimate of the corresponding population mean?x¯=$b. Make a 99% confidence interval for the average amount of money spent per week at coffee shops by all…

Last school year, the student body of a local university consisted of 35% freshmen, 24% sophomores, 26% juniors, and 15% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 90 Sophomores 60 Juniors 90 Seniors 60 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals   a. 0.5444   b. 2.789   c. 10.989   d. 15.231

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 400 students taken from this year's student body showed the following number of students in each classification. Freshmen 113 Sophomores 98 Juniors 115 Seniors 74 ​ We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals Select one: a. .54. b. .65. c. 2.063. d. 2.664.

A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. The coach split the 26 boys into two equal sized groups, where Group 1 was given the energy drink and Group 2 was not. The 100 meter race times were recorded during practice and shown in the table below. What inference can be made about the results? Group 1 Group 2 12.2 13 12.5 12.3 13.3 12.8 12.9 13 13 13.8 12.1 13 13 13 13 13 12.1 13 13 13 12.1 13 12.8 13 13 12.6     Mean: 12.7 Mean: 13   Since the simulation shows ( many cases or free cases )?  where a mean  difference of ( solve for this answer )   or less occurred when the groups were re-randomized, it can be inferred that the mean difference observed in the study was ( very possibly or very unlikely )  ?due to the random assignment of participants into groups, so the results of the study are (…