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Answer :
Final answer:
A researcher can reject the null hypothesis if the sample z-score is greater than 1.64, as it falls into the critical region of the standard normal distribution.
Explanation:
If the cutoff z-score on the comparison distribution is 1.64, a researcher can reject the null hypothesis if the sample z-score on this distribution is greater than 1.64. When performing a hypothesis test, if the sample z-score falls into the critical region (which is determined by the cutoff z-score), the null hypothesis can be rejected. In this case, since the sample z-score would be greater than the critical value of 1.64, it falls into the rejection region of the standard normal distribution. Thus, the researcher has sufficient evidence to reject the null hypothesis.
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