Imagine that you work in web media, and your company publishes news and analysis. Success is...
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Imagine that you work in web media, and your company publishes news and analysis. Success is measured by the amount of time visitors stay on the site consuming content (longer time is better). Two websites are created and tested: Deep-Analysis (DA) vs. Just-Headlines (JH). An analysis of the duration of time spent by unique visitors is as follows: Deep-Analysis: 1000 unique visitors; Duration= 2:40 (hh:mm); std.deviation = 25 minutes. (or in decimal numbers, mean=2.66, sd=0.42) Just-Headlines: 1000 unique visitors; Duration= 2:15 (hh:mm); std.deviation =30 minutes. (or in decimal numbers, SLS mean=2.25, sd=0.50) Test the null hypothesis claim at 90% confidence (or alpha=.10) that the difference in time spent between these two sites is not significantly different from zero. (i.e. Note that this means that the null hypothesis is claiming that the same amount of time is spent on these sites). Do you retain or reject the null hypothesis? Question 28 (3 points) Based on your analysis of comparing the time visitors spend on the DA and JH websites, which site would be more attractive for advertisers to use? Explain. Question 29 (3 points) If you calculate a 90% confidence interval to estimate the true difference in time spent between the sites, and also calculate a traditional hypothesis test (using an alpha=0.10), should the conclusion based on Confidence Intervals be the same as the conclusion your would reach in the hypothesis test? Explain or demonstrate via calculations. Imagine that you work in web media, and your company publishes news and analysis. Success is measured by the amount of time visitors stay on the site consuming content (longer time is better). Two websites are created and tested: Deep-Analysis (DA) vs. Just-Headlines (JH). An analysis of the duration of time spent by unique visitors is as follows: Deep-Analysis: 1000 unique visitors; Duration= 2:40 (hh:mm); std.deviation = 25 minutes. (or in decimal numbers, mean=2.66, sd=0.42) Just-Headlines: 1000 unique visitors; Duration= 2:15 (hh:mm); std.deviation =30 minutes. (or in decimal numbers, SLS mean=2.25, sd=0.50) Test the null hypothesis claim at 90% confidence (or alpha=.10) that the difference in time spent between these two sites is not significantly different from zero. (i.e. Note that this means that the null hypothesis is claiming that the same amount of time is spent on these sites). Do you retain or reject the null hypothesis? Question 28 (3 points) Based on your analysis of comparing the time visitors spend on the DA and JH websites, which site would be more attractive for advertisers to use? Explain. Question 29 (3 points) If you calculate a 90% confidence interval to estimate the true difference in time spent between the sites, and also calculate a traditional hypothesis test (using an alpha=0.10), should the conclusion based on Confidence Intervals be the same as the conclusion your would reach in the hypothesis test? Explain or demonstrate via calculations. Imagine that you work in web media, and your company publishes news and analysis. Success is measured by the amount of time visitors stay on the site consuming content (longer time is better). Two websites are created and tested: Deep-Analysis (DA) vs. Just-Headlines (JH). An analysis of the duration of time spent by unique visitors is as follows: Deep-Analysis: 1000 unique visitors; Duration= 2:40 (hh:mm); std.deviation = 25 minutes. (or in decimal numbers, mean=2.66, sd=0.42) Just-Headlines: 1000 unique visitors; Duration= 2:15 (hh:mm); std.deviation =30 minutes. (or in decimal numbers, SLS mean=2.25, sd=0.50) Test the null hypothesis claim at 90% confidence (or alpha=.10) that the difference in time spent between these two sites is not significantly different from zero. (i.e. Note that this means that the null hypothesis is claiming that the same amount of time is spent on these sites). Do you retain or reject the null hypothesis? Question 28 (3 points) Based on your analysis of comparing the time visitors spend on the DA and JH websites, which site would be more attractive for advertisers to use? Explain. Question 29 (3 points) If you calculate a 90% confidence interval to estimate the true difference in time spent between the sites, and also calculate a traditional hypothesis test (using an alpha=0.10), should the conclusion based on Confidence Intervals be the same as the conclusion your would reach in the hypothesis test? Explain or demonstrate via calculations. Imagine that you work in web media, and your company publishes news and analysis. Success is measured by the amount of time visitors stay on the site consuming content (longer time is better). Two websites are created and tested: Deep-Analysis (DA) vs. Just-Headlines (JH). An analysis of the duration of time spent by unique visitors is as follows: Deep-Analysis: 1000 unique visitors; Duration= 2:40 (hh:mm); std.deviation = 25 minutes. (or in decimal numbers, mean=2.66, sd=0.42) Just-Headlines: 1000 unique visitors; Duration= 2:15 (hh:mm); std.deviation =30 minutes. (or in decimal numbers, SLS mean=2.25, sd=0.50) Test the null hypothesis claim at 90% confidence (or alpha=.10) that the difference in time spent between these two sites is not significantly different from zero. (i.e. Note that this means that the null hypothesis is claiming that the same amount of time is spent on these sites). Do you retain or reject the null hypothesis? Question 28 (3 points) Based on your analysis of comparing the time visitors spend on the DA and JH websites, which site would be more attractive for advertisers to use? Explain. Question 29 (3 points) If you calculate a 90% confidence interval to estimate the true difference in time spent between the sites, and also calculate a traditional hypothesis test (using an alpha=0.10), should the conclusion based on Confidence Intervals be the same as the conclusion your would reach in the hypothesis test? Explain or demonstrate via calculations.
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Hypothesis Testing Lets denote muDA as the mean time spent on DeepAnalysis DA muJH as the mean time ... View the full answer
Related Book For
Statistics Unlocking The Power Of Data
ISBN: 9780470601877
1st Edition
Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
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