The P&G marketing team has created two potential slogans for the new Smile toothpaste. The uplifting slogan is, “Smile when you buy Smile!”. The serious slogan is, “Buy Smile to keep your smile.” Before deciding which slogan to use, the marketing team runs an experiment to see how individuals respond to these two slogans. The marketing team recruits 46 people to participate in this experiment, randomly assigning 24 participants to read the uplifting slogan and 22 participants to read the serious slogan. After reading the slogans, all participants rate how likely they are to buy the new Smile toothpaste on a scale from 1 (definitely will NOT purchase) to 10 (definitely will purchase). The group of participants who read the uplifting slogan has a mean score of 6.67, with a sum of squares of 323. The group of participants who read the serious slogan has a mean score of 4.77, with a sum of squares of 221. Do participants who read the uplifting slogan versus the serious slogan differ significantly in how likely they are to purchase the new Smile toothpaste? Use a nondirectional alternative hypothesis and α = 0.10 to analyze this data. Answer all of the following questions. Please label each step with the appropriate letter. E. Compute and interpret Cohen’s d. F. Compute and interpret r2. G. Compute and interpret a 90% confidence interval.
The P&G marketing team has created two potential slogans for the new Smile toothpaste. The uplifting slogan is, “Smile when you buy Smile!”. The serious slogan is, “Buy Smile to keep your smile.” Before deciding which slogan to use, the marketing team runs an experiment to see how individuals respond to these two slogans. The marketing team recruits 46 people to participate in this experiment, randomly assigning 24 participants to read the uplifting slogan and 22 participants to read the serious slogan. After reading the slogans, all participants rate how likely they are to buy the new Smile toothpaste on a scale from 1 (definitely will NOT purchase) to 10 (definitely will purchase). The group of participants who read the uplifting slogan has a mean score of 6.67, with a sum of squares of 323. The group of participants who read the serious slogan has a mean score of 4.77, with a sum of squares of 221. Do participants who read the uplifting slogan versus the serious slogan differ significantly in how likely they are to purchase the new Smile toothpaste? Use a nondirectional alternative hypothesis and α = 0.10 to analyze this data. Answer all of the following questions. Please label each step with the appropriate letter.
E. Compute and interpret Cohen’s d.
F. Compute and interpret r2.
G. Compute and interpret a 90% confidence interval.
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