A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks. The lab failed to reject the hypothesis that the hot dogs did not meet this requirement, with a P-value of 0.142. A 90% confidence interval estimated the mean sodium content for this kind of hot dog at 317.2 mg to 326.8 mg. Explain how these two results are consistent. Your explanation should discuss the confidence level, the P-value, and the decision.
The confidence interval
For this
hypothesis test, the P-value is
hypothesis that the hot dogs did not meet this requirement.
the 325-mg limit. Therefore, based on the confidence interval, the lab should conclude that the hot dogs
than the P-value cutoff of
Therefore, based on the hypothesis test, the lab should
the regulation.
the null