A two-sample t-test for a difference in means was conducted to investigate whether there is a statistically significant difference in the average amount of fat found in low-fat yogurt and the average amount of fat found in nonfat yogurt. With all conditions for inference met, the test produced a test statistic of t=2.201 and a p-value of 0.027. Based on the p-value and a significance level of α=0.05, which of the following is the correct conclusion? Reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant. A Reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is statistically significant. B Fail to reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant. C Fail to reject the null hypothesis because p>α. The difference in the average amount of fat found in low-fat and nonfat yogurt is statistically significant. D Fail to reject the null hypothesis because p>α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant.
A two-sample t-test for a difference in means was conducted to investigate whether there is a statistically significant difference in the average amount of fat found in low-fat yogurt and the average amount of fat found in nonfat yogurt. With all conditions for inference met, the test produced a test statistic of t=2.201 and a p-value of 0.027.
Based on the p-value and a significance level of α=0.05, which of the following is the correct conclusion?
-
Reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant.
A -
Reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is statistically significant.
B -
Fail to reject the null hypothesis because p<α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant.
C -
Fail to reject the null hypothesis because p>α. The difference in the average amount of fat found in low-fat and nonfat yogurt is statistically significant.
D -
Fail to reject the null hypothesis because p>α. The difference in the average amount of fat found in low-fat and nonfat yogurt is not statistically significant.
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