A dessert manufacturer wanted to know if adding a preservative to their cupcakes extended their shelf life before going stale. They found the cupcakes that had the preservative lasted seven days before going stale, but the cupcakes without the preservative only lasted three days. They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05. What should we conclude about their findings? Select one: The results were statistically significant and practically significant. The results were statistically significant but not practically significant. The results were not statistically significant but were practically significant. The results were neither statistically significant nor practically significant.

Question

Mathematics

Mireya Duffy

19 April, 00:26

A dessert manufacturer wanted to know if adding a preservative to their cupcakes extended their shelf life before going stale. They found the cupcakes that had the preservative lasted seven days before going stale, but the cupcakes without the preservative only lasted three days. They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05. What should we conclude about their findings? Select one: The results were statistically significant and practically significant. The results were statistically significant but not practically significant. The results were not statistically significant but were practically significant. The results were neither statistically significant nor practically significant.

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Answers (1)

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Reagan Olsen · Answer 1

The correct option is C) The results were not statistically significant but were practically significant.

Step-by-step explanation:

Consider the provided information.

They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05.

We reject the null hypothesis if p value is less than α.

We are fail to reject null hypothesis if p value is greater or equal to α.

Here p value is greater than 0.05.

So, we do not reject null hypothesis and conclude that result is not statistically significant. But, there is a practical difference between 3 days and 7 days.

Therefore, the correct option is C) The results were not statistically significant but were practically significant.