Question

A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating more potential to purchase the product. You want to know if the commercial increased the mean purchase potential rating. You will test the claim at a significance level of  αα = 0.002. To do so, you find a sample of 47 people, you find the mean "after-before" rating to be ¯d=0.3d¯=0.3 with a standard deviation of the differences of sd=sd= 0.7.  

1. What is the test statistic for this sample?
   
   test statistic =  Round to 4 decimal places.
   
2. What is the p-value for this sample? Round to 4 decimal places.
   
   p-value =
   
3. The p-value is...
   • less than (or equal to) αα
   • greater than αα
   
   
4. This test statistic leads to a decision to...
   • reject the null
   • accept the null
   • fail to reject the null
   
   
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the mean 'after'-'before' rating is greater than 0.
   • There is not sufficient evidence to warrant rejection of the claim that the mean 'after'-'before' rating is greater than 0.
   • The sample data support the claim that the mean 'after'-'before' rating is greater than 0.
   • There is not sufficient sample evidence to support the claim that the mean 'after'-'before' rating is greater than 0.

Answer 1