Researchers investigated the effectiveness of oral zinc, as compared to a placebo, in reducing the found those taking oral duration of the common cold when taken within 24 hours of the onset of symptons. The researchers zinc had a statistically significant y shorter duration (P< 0.05) than those taking the placebo, what does this mean?

O The probability that the null hypothesis is true is less than 0.05

The value of the test statistic, the mean reduction in duration of the cold, is large.

Neither of the above is true. eBook

Answer: none of the above

Step-by-step explanation: when performing an hypothesis test and we want to make conclusion by comparing the p-value with the level of significance α

When p is greater than α, we reject the null hypothesis because it simply implies that we have a larger chance to commit a type 1 error (α is the probability of committing a type 1 error an error where we reject the null hypothesis instead of accepting it) which means we reject the null hypothesis.

When p is lesser than level of significance α, it means that we have a lesser chance of committing a type 1 error, which means we accept the null hypothesis.