### Two-Sample Test of Proportions#### OverviewThis Stata output represents a two-sample test of proportions. The test compares two groups (x and y) to determine if there is a significant difference between their proportions.#### Missing Values Needed- **A:** Standard Error for x- **B:** Confidence Interval for x- **C:** Mean for y- **D:** z-value- **E:** Pr(Z < z) for Ha: diff < 0- **F:** Pr(|Z| < |z|) for Ha: diff != 0- **G:** Pr(Z > z) for Ha: diff > 0#### Input Values- **x:** - Number of observations = 132 - Mean = 0.45 - Std. Err. = A - 90% Conf. Interval = B - **y:** - Number of observations = 125 - Mean = C - Std. Err. = 0.0444972- **diff** (Difference in proportions x - y): - Mean = -0.1 - Std. Err. = 0.0620886 - z = D - 90% Conf. Interval from -0.2021267 to 0.0021267#### Hypothesis Tests- **Null Hypothesis (Ho):** diff = 0- **Alternative Hypotheses (Ha):** - diff < 0: Pr(Z < z) = E - diff != 0: Pr(|Z| < |z|) = F - diff > 0: Pr(Z > z) = G#### InterpretationThe data requires the calculation of missing values A-G to complete the analysis. With these values, you can determine the statistical significance and interpret the results of the test to understand if the two sample proportions are significantly different.

Given information: Variable Mean Std. Errr. z P > |z| 90% Conf. Interval x 0.45 A B y…

Answered: Calculate the Missing values in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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T-TEST FOR INDEPENDENT MEANS 1. Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air pollution experiment. It is desired to determine whether the types of instruments yield measurement having the same variability. The following readings were recorded for the instrument. Sulfur Monoxide Instrument A Instrument B 0.86 0.87 0.82 0.74 0.75 0.63 0.61 0.55 0.89 0.76 0.64 0.70 0.81 0.69 0.68 0.57 0.65 0.53 Assuming the population of measurements to be approximately normally distributed, test the null hypothesis using two tailed test at 0.05 level of significance.
Some frozen food dinners were randomly selected from this week's production and destroyed in order to measure their actual calorie content. The claimed calorie content is 200. Here are the calorie counts for each frozen dinner selected: 191 189 198 210 207 203 209 215 209 204 200 194 Assume the distribution of calories is normal. (a) The test statistic (z/t) is Use two decimals. (b) Does the sample indicate that the mean calorie content is 200? Set a = (c) Find the P-value of the test in (a)-(b). 0.07 ? Yes No
In 1908, William Gosset published the article "The probable Error of a Mean" under the pseudonym of "Student". He included the data listed below for two different types of corn seed that were used on ad jacent plots of land. The listed values are the yields of head corn in pounds per acre. Use a 0.10 significance level to test the claim that the mean difference in yield between the two types of seed is 0. Regular 1903 1935 1910 2496 2108 1980 2060 1444 1612 1316 1511 Kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 a. Define the parameter A. mu Subscript d Baseline equals Mean of (Regular yield - Kiln dried yield) B. mu Subscript d Baseline equals Mean of the Regular yield C. mu Subscript d Baseline equals Mean of the Kiln dried yield D. mu equals Mean yield b. State the null and alternative hypotheses…
A sample of size 8 was collected from an unknown population 0 1126 10 11 20 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 5 -1.2 -0.5 0 0.5 1.2 Clear All Draw: 22- 2 not normal normal 19 # 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?
The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per year, expressed as CO2 equivalents. Use a 0.025 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the results, does the type of vehicle appear to affect the amount of greenhouse gas emissions? Click the icon to view the data. What are the hypotheses for this test? O A. Ho: At least one of the means is different from the others. H₁ H₁ H₂ H3 OB. Ho: H₁ H₁: H1 H₂ =H3 H₂ H3 OC. Ho: H₁ H₂ H3 H₁: At least one of the means is different from the others. O D. Ho: H₁ H₂ H3 H₁: H₁ H₂ =H3 Data Table Type A 6.2 6.2 6.5 7.4 7.1 6.1 6.9 7.3 6.9 6.7 Print C Type B 7.7 7.5 8.7 8.1 8.6 8.8 8.4 8.5 Type C 8.5 9.3 9.6 9.1 9.1 9.1 9.8 9.5 9.9 Done O X
The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per year, expressed as CO2 equivalents. Use a 0.05 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the results, does the type of vehicle appear to affect the amount of greenhouse gas emissions? Click the icon to view the data. What are the hypotheses for this test? OA. Ho: H₁ H₂ H3 H₁: H₁ H₂ H3 OB. Ho: H₁ H₂ =H3 H₁: At least one of the means is different from the others. O C. Ho: At least one of the means is different from the others. H₁: H₁=H₂ =H3 OD. Ho: H₁ H₂ H3 H₁: H1₁ H₂ H3 Determine the test statistic. F = (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to two decimal places as needed.) What is the conclusion of the test? the null hypothesis. Conclude that the type of vehicle Data Table C Type A 6.5 6.2 6.5 6.5 5.8 7.5 6.4 6.4 6.2 6.9…
Please state your assumptions and show all your work clearly. 1. [40 marks] Show that the following equalities hold: a) Population variance: N N b) Sample variance: E,x)? n(x)? %3D n – 1 п — 1 п — 1 c) Sum of differences from the population mean: (xi - 4) = 0 i=1
Benign prostatic hyperplasia is a non-cancerous enlargement of the prostate gland that adversely affects the quality of life of millions of men. A study of a minimally invasive procedure for the treatment of this condition looked at pretreatment Quality of Life (QOL Base) and Quality of Life (QOL 3Mo) after 3 months on treatment. Quality of Life was rated using an ordinal scale of 0 to 6, where 0 is "Delighted" and 6 is "Terrible" Create a "Delta" column depicting the Difference between the Base and 3-month ratings Find the Mean of the Differences, Standard Deviation and Standard Error for the Delta values Is there a Significant Difference in Quality of Life 3 months after treatment? Find the tsat value and the corresponding p-value boundaries using Table C
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