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Simple hypothesis testing

Charlotte is left-handed. She heard that about 12%12\% of all people are left-handed, but she suspected that the percentage of lefties in her school is greater. She took a random sample of 100100 students, and found that 21%21\% of them are left-handed.
Let's test the hypothesis that the actual percentage of left-handed students is 12%12\% versus the alternative that the actual percentage is higher than that.
The table below sums up the results of 10001000 simulations, each simulating a sample of 100100 students, assuming there are 12%12\% left-handed students.
According to the simulations, what is the probability of getting a sample with 21%21\% left-handed students or more?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • a percent, like 12.34%12.34\%
Let's agree that if the observed outcome has a probability less than 1%1\% under the tested hypothesis, we will reject the hypothesis.
What should we conclude regarding the hypothesis?
Choose 1 answer:
Choose 1 answer:
Measured %\% of left-handed studentsFrequency
4422
551010
661818
774747
886161
999494
1010116116
1111126126
1212130130
1313106106
14148080
15157575
16165151
17173636
18181919
19191515
202088
212155
222211