A researcher wants to test if there is a significance difference between the BMI of regular sugary beverage drinkers in 2010 (mean BMI = 26.5, reported by the National Health Survey, regular sugary beverage drinker defined as at least 1 sugary beverage drink daily) and in 2015. In December of 2015, the researcher collected a sample of 105 regular sugary beverage drinkers, she measured their BMIs and found that the average BMI was 30 with a standard deviation of 2. Which one of the following conclusions is INCORRECT?
After conducting the hypothesis testing procedure, the conclusion should be to accept (or fail to reject) the null hypothesis.
The critical test statistic is t = 1.960.
The null hypothesis is that the BMI of regular sugary beverage drinkers in 2010 does not differ from that in 2015.
The obtained test statistic is t = 17.932.