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Question 4: Using Excel, conduct a NHST to determine whether there is a correlation in the population. Use a 0.05 significance level. Use the Excel file: Assignment8_Spring22.xlsx a. Test Set-Up: What type of Null Hypothesis Test should you use? Is this a left-tailed, two-tailed, or right-tailed test? Place an "X" in the appropriate box: Left-Tail Two-Tail Right-Tail This is a t-test to determine whether there is a correlation in the population. Here is the formula for the Test Statistic: r/n-2 t= V1-r b. What is/are the critical value(s) for t? Degrees of freedom equals n - 2. Use a 5% significance level. How many critical values are there? Place an “X" in the appropriate box: One Two What is (are) the critical value(s)? Round off your answer to three digits passed the decimal point. Enter the value or values in this box: Write the Null & Alternate Hypotheses (Follow the examples shown in Clear-Sighted Statistics. Use the appropriate Greek letters and mathematical symbols). Họ: с. H1: Here are the Greek Letters and mathematical symbols. Copy and paste the correct symbols. Mathematical Symbols %3D > < Greek Letters Σ V

Question 4: Using Excel, conduct a NHST to determine whether there is a correlation in the population. Use a 0.05 significance level. Use the Excel file: Assignment8_Spring22.xlsx a. Test Set-Up: What type of Null Hypothesis Test should you use? Is this a left-tailed, two-tailed, or right-tailed test? Place an "X" in the appropriate box: Left-Tail Two-Tail Right-Tail This is a t-test to determine whether there is a correlation in the population. Here is the formula for the Test Statistic: r/n-2 t= V1-r b. What is/are the critical value(s) for t? Degrees of freedom equals n - 2. Use a 5% significance level. How many critical values are there? Place an “X" in the appropriate box: One Two What is (are) the critical value(s)? Round off your answer to three digits passed the decimal point. Enter the value or values in this box: Write the Null & Alternate Hypotheses (Follow the examples shown in Clear-Sighted Statistics. Use the appropriate Greek letters and mathematical symbols). Họ: с. H1: Here are the Greek Letters and mathematical symbols. Copy and paste the correct symbols. Mathematical Symbols %3D > < Greek Letters Σ V

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 4: Using Excel, conduct a NHST to determine whether there is a correlation in the population. Use a 0.05 significance level. Use the Excel file: Assignment8_Spring22.xlsx a. Test Set-Up: What type of Null Hypothesis Test should you use? Is this a left-tailed, two-tailed, or right-tailed test? Place an “X" in the appropriate box: Left-Tail Two-Tail Right-Tail This is a t-test to determine whether there is a correlation in the population. Here is the formula for the Test Statistic: ryn-2 t= V1-r? b. What is/are the critical value(s) for t? Degrees of freedom equals n - 2. Use a 5% significance level. How many critical values are there? Place an "X" in the appropriate box: One Two What is (are) the critical value(s)? Round off your answer to three digits passed the decimal point. Enter the value or values in this box: Write the Null & Alternate Hypotheses (Follow the examples shown in Clear-Sighted Statistics. Use the appropriate Greek letters and mathematical symbols). Но: с. H1: Here are the Greek Letters and mathematical symbols. Copy and paste the correct symbols. Mathematical Symbols > Greek Letters Σ V
Transcribed Image Text:Question 4: Using Excel, conduct a NHST to determine whether there is a correlation in the population. Use a 0.05 significance level. Use the Excel file: Assignment8_Spring22.xlsx a. Test Set-Up: What type of Null Hypothesis Test should you use? Is this a left-tailed, two-tailed, or right-tailed test? Place an “X" in the appropriate box: Left-Tail Two-Tail Right-Tail This is a t-test to determine whether there is a correlation in the population. Here is the formula for the Test Statistic: ryn-2 t= V1-r? b. What is/are the critical value(s) for t? Degrees of freedom equals n - 2. Use a 5% significance level. How many critical values are there? Place an "X" in the appropriate box: One Two What is (are) the critical value(s)? Round off your answer to three digits passed the decimal point. Enter the value or values in this box: Write the Null & Alternate Hypotheses (Follow the examples shown in Clear-Sighted Statistics. Use the appropriate Greek letters and mathematical symbols). Но: с. H1: Here are the Greek Letters and mathematical symbols. Copy and paste the correct symbols. Mathematical Symbols > Greek Letters Σ V
Death Rate per 100,000 people and Donald Trump's share of the popular vote. A group of political activists noticed that hesitancy to get the vaccine for COVID-19 seems particularly strong in states that Donald Trump won in the 2020 presidential election. They wondered whether there is a correlation between the COVID-19 death rate per 100,000 people per state and Donald Trump's share of the popular vote in 2020 per the 50 states and District of Columbia. The death rate data was sorted from a Johns Hopkins University/CNN report. The Voting data was sourced from CNN. Trump's Per Capita Share of Popular Vote* COVID State Death Alabama Alaska Arizona Arkansas California Colorado 330 62.0% 121 52.8% 308 288 49.0% 62.4% 189 34.3% The data are on the right. The data are located in Assignment8_Spring22.xlsx. 162 41.9% Connecticut Delaware District of Columbia Florida Georgia Hawaii 250 39.2% 224 39.8% Question 1: A Priori Statistical Power Before collecting the data, they decided to calculate a priori statistical power to determine how large a sample is needed to achieve 80% statistical power. 170 5.4% 287 51.2% 288 49.2% 73 34.3% 221 Idaho linois Indiana 63.8% G*Power 228 40.6% Conduct an a priori power analysis using G*Power. (If you are not using a Windows or Macintosh computer use Statistics Kingdom to estimate sample size) Here are the setting for G*Power: Test family: t tests Statistical test: Correlation: Point biserial model 262 57.0% 53.1% lowa Kansas Kentucky Louisiana Maine Maryland Massachusetts 236 230 56.1% 247 62.1% 319 58.5% 99 44.0% Type of power analysis: A priori: Compute required sample size. Tails: Two 32.1% 32.1% 186 282 Michigan Minnesota 258 47.8% Effect size |pl: 0.40 a err prob: 0.05 Power (1-ß prob): 0.8 172 346 45.3% Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey 57.5% 253 53.8% 256 53.9% a. What is the required sample size? 164 58.2% 161 47.7% 127 45.4% 320 41.3% b. What level of statistical power will be achieved? Round off your answer to four digits passed the decimal point. New Mexico 257 43.5% New York North Carolina North Dakota Ohio Oklahoma 296 37.7% 179 49.9% 255 65.1% 227 53.3% Using data from 50 states and the District of Columbia, do they have a sufficiently large sample size to achieve 80% power assuming that the coefficient of correlation is the population equal 0.40? Please an “X" in the appropriate box: 302 65.4% Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Техas Utah Vermont 124 40.4% 263 48.8% 277 38.6% 277 55.1% Yes No 266 61.8% 253 60.7% 255 52.1% 111 58.1% Statistics Kingdom If you are using a Chromebook, conduct an a priori power analysis using the tool found at https://www.statskingdom.com/sample size regression.html. Here are the settings: Type: Regression Power: 0.8 66 30.7% Virginia Washington West Virginia Wisconsin Wyoming 173 44.0% 123 38.8% 276 68.6% 173 48.8% 247 69.9% Effect: Medium Effect Size: 0.1615 Significance level (a): 0.05 Predictors (p): 1 Effect Type: R²/n²
Transcribed Image Text:Death Rate per 100,000 people and Donald Trump's share of the popular vote. A group of political activists noticed that hesitancy to get the vaccine for COVID-19 seems particularly strong in states that Donald Trump won in the 2020 presidential election. They wondered whether there is a correlation between the COVID-19 death rate per 100,000 people per state and Donald Trump's share of the popular vote in 2020 per the 50 states and District of Columbia. The death rate data was sorted from a Johns Hopkins University/CNN report. The Voting data was sourced from CNN. Trump's Per Capita Share of Popular Vote* COVID State Death Alabama Alaska Arizona Arkansas California Colorado 330 62.0% 121 52.8% 308 288 49.0% 62.4% 189 34.3% The data are on the right. The data are located in Assignment8_Spring22.xlsx. 162 41.9% Connecticut Delaware District of Columbia Florida Georgia Hawaii 250 39.2% 224 39.8% Question 1: A Priori Statistical Power Before collecting the data, they decided to calculate a priori statistical power to determine how large a sample is needed to achieve 80% statistical power. 170 5.4% 287 51.2% 288 49.2% 73 34.3% 221 Idaho linois Indiana 63.8% G*Power 228 40.6% Conduct an a priori power analysis using G*Power. (If you are not using a Windows or Macintosh computer use Statistics Kingdom to estimate sample size) Here are the setting for G*Power: Test family: t tests Statistical test: Correlation: Point biserial model 262 57.0% 53.1% lowa Kansas Kentucky Louisiana Maine Maryland Massachusetts 236 230 56.1% 247 62.1% 319 58.5% 99 44.0% Type of power analysis: A priori: Compute required sample size. Tails: Two 32.1% 32.1% 186 282 Michigan Minnesota 258 47.8% Effect size |pl: 0.40 a err prob: 0.05 Power (1-ß prob): 0.8 172 346 45.3% Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey 57.5% 253 53.8% 256 53.9% a. What is the required sample size? 164 58.2% 161 47.7% 127 45.4% 320 41.3% b. What level of statistical power will be achieved? Round off your answer to four digits passed the decimal point. New Mexico 257 43.5% New York North Carolina North Dakota Ohio Oklahoma 296 37.7% 179 49.9% 255 65.1% 227 53.3% Using data from 50 states and the District of Columbia, do they have a sufficiently large sample size to achieve 80% power assuming that the coefficient of correlation is the population equal 0.40? Please an “X" in the appropriate box: 302 65.4% Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Техas Utah Vermont 124 40.4% 263 48.8% 277 38.6% 277 55.1% Yes No 266 61.8% 253 60.7% 255 52.1% 111 58.1% Statistics Kingdom If you are using a Chromebook, conduct an a priori power analysis using the tool found at https://www.statskingdom.com/sample size regression.html. Here are the settings: Type: Regression Power: 0.8 66 30.7% Virginia Washington West Virginia Wisconsin Wyoming 173 44.0% 123 38.8% 276 68.6% 173 48.8% 247 69.9% Effect: Medium Effect Size: 0.1615 Significance level (a): 0.05 Predictors (p): 1 Effect Type: R²/n²
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