Question

Below are several interpretations of the p-value. Which one is incorrect? Explain wity. 1. The probabiity of observing a test statistic less than of equal to-1.898 is 0.045 , assuming the true everoge amount of calfeine in a cup of half caff is 60 mg. 2. A test statstic of-1.898 or smaller would be observed in 4.5% of repeated samples of size 10. assuming the true average amount of catfene in a cup of halfcatf is 60mg. 3. There is a 4.5% chance that the tiue everage amocint of caffeine in a cup of half caff is 60mg 4.4.5% of the null distrbution is less than or equal to -1.898.

Answer 1

The interpretation of the p-value that is incorrect is Option 3: 'There is a 4.5% chance that the true average amount of caffeine in a cup of half caff is 60mg.' The p-value is not the probability of the null hypothesis being true or the probability of a specific parameter value being true. It is the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming the null hypothesis is true.

Step-by-step explanation:

The interpretation of the p-value that is incorrect is Option 3: 'There is a 4.5% chance that the true average amount of caffeine in a cup of half caff is 60mg.'

The p-value is not the probability of the null hypothesis being true or the probability of a specific parameter value being true. It is the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming the null hypothesis is true.

In this case, the p-value is the probability of observing a test statistic less than or equal to -1.898, which is 0.045 (4.5%).