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Based on the null hypotheses, the type of error is Decrease the significance level to decrease the probability of Type I error.
What does null hypotheses means?
In math, null hypotheses refers a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations.
Here we have give that researchers are testing a new diagnostic tool designed to identify a certain condition. the null hypothesis of the significance test is that the diagnostic tool is not effective in detecting the condition. for the researchers, the more consequential error would be that the diagnostic tool is not effective, but the significance test indicated that it is effective.
And we need to find in which of the following should the researchers do to avoid the more consequential error.
According to the given question, the null hypothesis is that the new diagnostic tool is not effective in detecting the condition.
Here the more consequential error described is that the diagnostic tool is not effective, but the significance test indicated that it is effective. This is a type I error.
And in Hypothesis testing, a type I error involves rejecting the null hypothesis and accepting the alternative hypothesis when in reality, the null hypothesis is true.
Therefore, it involves saying there is significant evidence to show that the new diagnostic tool is effective in detecting the condition when in reality, it isn't.
When the level of significance (α) of a hypothesis test directly gives the probability of a type I error. So, by setting it lower, we reduce the chances of a type I error.
To know more about Null hypotheses here
https://brainly.com/question/29576929
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