Question
It is known that the proportion of left-handed people in the overall population is 10%. A random sample of the 5 th -grade students in
It is known that the proportion of left-handed people in the overall population is 10%.
A random sample of the 5th-grade students in our school district was selected and it was found that the proportion of left-handed students is 7.3%. We test the claim that the proportion of our school districts 5th grade students who are left handed is less than 10%. The computed p-value is 0.061.
Which of these is/are incorrect statements interpreting this p-value? (For your own understanding, be able to describe WHAT is incorrect about each.)
A. The probability of finding a sample statistic as extreme or more extreme than the sample statistic of our data is 0.061
B. The probability of finding a sample statistic as extreme or less extreme than the sample statistic of our data is 0.061 if the null hypothesis is true.
C. The probability of finding a sample statistic as extreme or less extreme than the sample statistic of our data is 0.061 if the alternative hypothesis is true.
D. The probability of finding a sample statistic as extreme or more extreme than the sample statistic of our data is 0.061 if the null hypothesis is true.
E. The probability of finding a sample statistic as extreme or more extreme than the sample statistic
of our data is 0.061 if the alternative hypothesis is true.
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