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It is known that for right-handed people, the dominant (right) hand tends to be stronger. For left-handed people who live in a world designed for right-handed people, the same may not be true. To test this, muscle strength was measured on the right and left hands of a random sample of 15 left-handed men and the difference (left - right) was found. The alternative hypothesis is one-sided (left hand stronger). The resultingt-statistic was 1.80.
-Which of the following is an appropriate conclusion?
A) The results are statistically significant so the left hand appears to be stronger.
B) The results are statistically significant so the left hand does not appear to be stronger.
C) The results are not statistically significant so there is not enough evidence to conclude the left hand appears to be stronger.
D) None of the above.

Question

Use the following information for questions:
 It is known that for right-handed people, the dominant (right) hand tends to be stronger. For left-handed people who live in a world designed for right-handed people, the same may not be true. To test this, muscle strength was measured on the right and left hands of a random sample of 15 left-handed men and the difference (left - right) was found. The alternative hypothesis is one-sided (left hand stronger). The resultingt-statistic was 1.80.
-Which of the following is an appropriate conclusion?
A) The results are statistically significant so the left hand appears to be stronger.
B) The results are statistically significant so the left hand does not appear to be stronger.
C) The results are not statistically significant so there is not enough evidence to conclude the left hand appears to be stronger.
D) None of the above.

Quizplus · Accepted Answer

The t-statistic is positive, which means that the left hand is stronger than the right hand. The p-value is less than 0.05, which means that the results are statistically significant. Therefore, the correct answer is A.

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