Which of the following is false regarding the sampling distribution in null hypothesis testing?
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- 2.) The table shows the distribution of a random sample of fatal motor vehicle collisions by time of day and gender in a recent year. Use a = 0.10 significance to perform a Chi-Square hypothesis test. O: E: C: O: E: C: totals: 12:00-5:59 6:00-11:59 654 308 490 231 12:00-5:59 pm 654 308 6:00-11:59 pm 1471 692 totalsSuppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.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 tables. Observed counts: Grade Level 9th 10th 11th 12th Yes 3 12 15 19 Employed? No 22 13 10 6 Expected counts: Grade Level 9th 10th 11th 12th Yes 12.25 12.25 12.25 12.25 Employed? No 12.75 12.75 12.75 12.75 She decides to test these hypotheses: H.: There ie no difference in the distribution of ioh status for all Qth 10th 11th and 12th araders at this biah
- 8- A random sample of the weight of 8 newborn babies at a local hospital is 6.5, 9.2, 8.5, 7.5, 6.7, 7.4, 8.2, and 7.1. Conduct a test of hypothesis to determine if the population mean is 7 pounds. (15%) b. Construct a 95% confidence interval for population standard deviation (6). Test if population variance (o) of the weight of newborns is equal to 0.25. Use a-0.10 and make sure to identify the null and the alternative, the test statistics, critical value(s), and the decision rule. d. What assumptions are needed for the validity of your answers in parts a, b, and c? a. с.9 Next TWO questions are related to the following sample data: Jane, a statistics student, wants to build a confidence interval with a 95% confidence level for the mean commuting distance of all IUPUI students. She selects a random sample of students and obtains the following commuting distance data. The data show the distance from the student residence to the campus in miles). b C d 11 b 8:19 1 d Done 12 8.6 23 8.3 9.1 22.6 8.2 14 12.3 14.9 9.4 16.5 12.7 14.9 0.395 0.359 0.326 19 48 10.2 10.7 4.7 14.4 20.1 28.5 29.6 18 7.5 13.1 16 12.4 17.3 16.7 11.9 61 71 83 97 The standard error of the mean is, 0.434 14.93 14.59 E270 T5 Armour, Tori.xlsx 14.24 13.67 29 38 31 39 10.8 20.9 13.5 17.9 11.1 35.4 34.1 33.0 31.9 13 13.2 10.1 14.1 12.6 11.5 12.2 13.2 14.7 19.7 19.3 38 26 30 12.9 14.7 17.4 13.1 12.8 10.9 10.3 21.2 7.6 8.2 The confidence interval with a 95% confidence level is 26.1 27.4 10 The interval estimate is, 11.83 12.18 12.52 13.10 Next two questions are related to the following sample…S - A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ = 42₂ H₁: Hy > H₂ @ View an example Get more help. 2 C. Ho: H₁ = 4₂ H₁: Hy #4₂ The test statistic, t, is -1.32. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) W S X command # 3 80 F3 E D с $ 4 a FA R F % 5 V FS T G 6 B MacBook Air & FG Y H & 7 N 8 41 F7 U J OB. Ho: 2 Η.: μη Σμη OD. Ho: H₁ H₂ H₁ H₁ H₂ * 8 M DII FO I ( 9 K DD F9 O < I ) O L command 4 F10 P . - : t ; Clear all option F11 { [ + ? 1 = 3CX5 Treatment Placebo H₂ 35 an Check answer…
- Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 110 n2 : 179 28.9 23.6 81 = 3.8 82 = 3.9 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Ho: H1 = 42 Ha: H1 < 42 a. Given the alternative hypothesis, the test is Select an answer b. Determine the test statistic. Round to four decimal places. t = c. Find the p-value. Round to 4 decimals. с. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whether the means of the two independent populations are the same. The following is a table of the information you gather. Fill in any missing values. Sample Degrees of Sample Standard Sums of Size Freedom Mean Deviation Squares Sample 1 ni 11 df1 = 10 M1 = 4.5 S1 = 5.4 Sample 2 n2 = 21 df2 = 20 M2 = 3.6 SS2 1,248.2 The pooled variance for your study is (Note: You are being asked for this value to three decimal places, because you will need to use it in succeeding calculations. For the most accurate results, retain these three decimal places throughout the calculations.) The estimated standard error of M1 - M2 for your study is The t statistic for your independent-measures t test, when the null hypothesis is that the two population means are the same, is The degrees of freedom for this t statistic is4.A prior study(by Pew Research 2021)found that 35 out of 50 randomly selected US adults between the ages of 18 to 29 use (or have used) Instagram. Construct a 99% confidence interval for the population proportion of US adults between the ages of 18 to 29 use (or have used) Instagram. (round to three decimal places) a.Identify the following: X, N, P b.Which distribution should you use for this problem? c.What is the corresponding critical value for a 99% confidence interval? d.Calculate the margin of error (3 decimal places) e.Construct a 99% confidence interval f. Interpret the interval.
- With the information provided, determine which hypothesis test is required, and per- form it as asked. A frequency table for two categorical variables X and Y, each with two levels, a = 0.05 significance level? given below. Is there evidence of a relationship between them at the X1 X2 Y1 101 81 Y2 35 52 (a) What are Ho and HA? (b) What is the relevant test statistic and its sampling distribution under the null hypothesis? (c) Calculate the test statistic and provide the value. Show working. (d) Using your preferred method (RoR, p-value, CI) make a determination about the hypothesis test.I'm completly lost on the problem. Can you please help me. I'm confused om P and PI 4. The numbers below represent the weekly time (in hours) that a random sample of college football players spent lifting weights. 7.4, 5.8, 7.3, 7, 8.9, 9.4, 8.3, 9.3, 6.9, 7.5, 9, 5.8, 5.5, 8.6, 9.3, 3.8 a. Construct, by hand, a 99% confidence interval of the mean weekly time college football players spend lifting weights. b. Interpret your confidence interval in context of the problem.
