We want to find out if college students trust a presidential candidate (in this case Mitt Romney). We randomly select 29 college students from a national registry (assuming there was such a thing) and ask them to rate how trustworthy they find Mitt Romney on a scale of 0 to 7 with 0 being
We want to find out if college students trust a presidential candidate (in this case Mitt Romney). We randomly select 29 college students from a national registry (assuming there was such a thing) and ask them to rate how trustworthy they find Mitt Romney on a scale of 0 to 7 with 0 being completely untrustworthy and 7 being completely trustworthy. The sample of 29 students results in an average of 3.94 points. Since 3.5 is the middle or neutral value, we are going to treat it as the “standard” or the assumed “no effect” value. We will also assume a sample standard deviation (sigma) of 2 points.
The null hypothesis in this case is that college students’ average trust rating for Mitt Romney = 3.5 (the neutral value).
a. There are three options for the alternative hypothesis. Choose one and make a statement of your alternative hypothesis.
b. Use the t-test formula for statistical significance to calculate the value of “t.” What does this value tell us (in units of standard error) about Mitt Romney’s average rating compared to the neutral value of 3.5?
c. Using Table C from the text (also pasted below), find the appropriate row based on the degrees of freedom to determine and report the critical value for alpha = .05.
d. Now approximate the p-value for the result you found in part “b”. (Hint: remember to use one-sided or two-sided based on the type of alternative hypothesis you stated. You should be able to say the p-value is between ____ and ____).
e. Assuming an alpha level of .05: Based on the result from C, do we have statistical significance? Can we reject the null? Why?
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