a)Calculate an unbiased point estimate of Pm. b) We wish to construct a 94 % classical confidence interval for Pm. What is the critical value multiplier zstar? c) Create a 94% classical confidence interval for Pm? T
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- Exercise 6.16 presents the results of a poll where 48% of 345 Americans who decide to not go to college do so because they cannot afford it.(a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend?A box model is used to calculate a confidence interval in the following scenario: One thousand high school students in a large city are randomly selected for a survey. Among these students, the average reported GPA is 3.0, and the SD is 1.22. For each of the following quantities in the box model, select the answer if the quantity is estimated, not known. Leave the quantities that are known unselected. a. the SD of GPA of high school students in the sample b. the average GPA of high school students in the sample c. the average GPA of all high school students in the city d. the SD of the tickets in the boxA 95% confidence interval for u is computed to be (1.65, 3.35). For each of the following hypotheses, state whether Hg will be rejected at 0.05 level. Answer the following question.
- Assume that both populations are normally distributed. a) Test whether u >H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42- Sample 1 28 52.6 Sample 2 23 44.1 9.4 O A. Ho: H1 H2 O B. Ho: H1 = H2, H:Hq H2, HHy H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.05 s P-value <0.10 O D. 0.01 SP-value <0.05 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is V the level of significance. b) The confidence interval is the range from to (Round to twwo decimal places as needed. Use ascending orderIn order for a prediction interval for y or a confidence interval for Hyx to be valid, which of the following must hold? a. The true relationship between the predictor variable x and the response variable y must be close to linear. b. The variability of the x-values must be about the same at each fixed y value. c. The variability of the y-values must be about the same at each fixed x value. d. The variability of the x-values and the y-values must be about the same. Select one answer A (c) and (d) must hold B (a) and (b) must hold (b) and (d) must hold D) (a) and (c) must hold4. A sample survey was conducted to estimate the population proportion p that has a certain characteristic. Stratified simple random sampling was used. The results are given below. Stratum Stratum Size Sample Size Pi 1 100 50 0.80 2 60 20 0.70 3 150 75 0.60 4 80 20 0.50 a) b) Find an estimate and a 95% confidence interval for the population proportion p and interpret the meaning of the confidence interval. For a future survey, stratum sample sizes are to be recalulated to estimate p to within 0.1 using an appropriate allocation method. What allocation method would you use if unit costs are given as c₁ = 4, c₂ = 2, c₁ = 5, c = 1? Why? Calculate the stratum sample sizes using the allocation you have chosen.
- A) State the hypothesis for this test B) construct a 95 % confidence interval about the sample mean of stocks traded in 2014 C) will the researcher reject the null hypothesisSample 1 Assume that both populations are normally distributed. a) Test whether µ, # µ, at the = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, - H2- Sample 2 17 17 13 14.3 X 3.5 3.1 E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. CA. Ho: H1 = H2, Hq:Hy # H2 O B. Ho: H1 = H2, H,: H1 Hz Determine the test statistic. t= - 1.15 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value isAssume that both populations are normally distributed. a) Test whether u > H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42. 177 Sample 1 24 51.7 9.5 Sample 2 43.1 99 O A. Ho: H1 = H2, H:Hq>H2 O B. Ho: H1 = H2, HH1H2, H1: H1 H2 Determine the test statistic. %3D (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.01 s P-value <0.05 O D. 0.05 s P-value <0.10 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)
- 品2 learn.zybooks.com DZL 4-3 Project One Submission -.. DZL 6-2 Participation Activities: Con... Z 5.2 - MAT 240: Applied Statistics DZL Module Five MAT 240: Applied Statistics home > 6.1: Confidence intervals E zyBooks CHALLENGE 6.1.1: Confidence intervals for population mean. ACTIVITY 389226.2543846.qx3zqy7 Jump to level 1 A clothing retailer is interested in the average waist size of men. A sample is taken with the results given below. Column1 Mean 41.32 Standard Error What is the sample statistic? = 41.32 C 1.447 Median 40 What is the point estimate for the average waist size? 41.32 Mode Standard Deviation 6.307 Sample Variance 39.78 What is the level of confidence as a decimal? Ex0.55 Kurtosis -0.79 Skewness 0.571 What is the margin of error? 2.509 Range Minimum 32 What is the confidence interval? [ Maximum 52 Sum 785 Count Confidence Level(90.0%) 60 LEGO Check Next References (*1) The Media Insight Project. "How Millennials Get News: Inside the Habits of America's First Digital…Use the bootstrap distributions in Figure 1 to estimate the value of the sample statistic and standard error, and then use this information to give a 95 % confidence interval. In addition, give notation for the parameter being estimated. The bootstrap distribution in Figure 1, generated for a sample correlation to 0.25 0.30 0.35 0.40 0.45 0.50 0.55 Figure 1 Bootstrap distribution (a) Give the sample statistic for the parameter being estimated. Round your answer to one decimal place. Sample statistic = eTextbook and Media (b) Estimate the standard error. Round your answer to two decimal places. standard error = i eTextbook and Media (c) Give the 95 % confidence interval. Round your answers to two decimal places, if necessary. The 95 % confidence interval is i to i e Textbook and MediaYou may need to use the appropriate appendix table or technology to answer this question. Recall the method used to obtain a confidence interval for the difference between two population means for matched samples. (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) Population Element 1 Difference 1 11 8 7 8 3 9 6 4 12 13 10 6 15 15 15 14 (b) Compute d. (c) Compute the standard deviation s. (Round your answer to two decimal places.) (d) What is the point estimate of the difference between the two population means? (Use Population 1 - Population 2.) (e) Provide a 95% confidence interval for the difference between the two population means. (Use Population 1 - Population 2. Round your answers to two decimal places.) to