After viewing the image, participants were asked to rate the person's trustworthiness on a scale of 0 to 100 points. The researchers conducted a two sample t-test, using the following hypotheses: • Ho: The underlying mean trustworthiness rating for the happy face is the same as the underlying mean trustworthiness rating for the more neutral face • Hy: The underlying mean trustworthiness rating for the happy face is not the same as the underling mean trustworthiness rating for the more neutral face The researchers found a difference of 1.3 points between the mean trustworthiness rating for each group (p-value = 0.0243), with the group that were shown an image of an Al- generated person with a happy face having the higher mean. The observed difference of 1.3 points is ? or is not statistically significant at 10% level?
Question
After viewing the image, participants were asked to rate the person's trustworthiness on a scale of 0 to 100 points. The researchers conducted a two sample t-test, using the following hypotheses: • Ho: The underlying mean trustworthiness rating for the happy face is the same as the underlying mean trustworthiness rating for the more neutral face • Hy: The underlying mean trustworthiness rating for the happy face is not the same as the underling mean trustworthiness rating for the more neutral face The researchers found a difference of 1.3 points between the mean trustworthiness rating for each group (p-value = 0.0243), with the group that were shown an image of an Al- generated person with a happy face having the higher mean. The observed difference of 1.3 points is ? or is not statistically significant at 10% level?
Solution
The p-value of 0.0243 is less than the significance level of 0.10 (10%). Therefore, we reject the null hypothesis (Ho) and conclude that the observed difference of 1.3 points is statistically significant at the 10% level. This means that the mean trustworthiness rating for the happy face is not the same as the mean trustworthiness rating for the more neutral face.
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