For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n, -1 and n, -1 for the degrees of freedom results in df = 11, and the corresponding critical values are t= ±2.201. Using the formula for the exact degrees of freedom results in df = 19.063, and the corresponding critical values aret= +2093. How is using the critical values of t= ±2.201 more "conservative" than using the critical values of +2093? Choose the correct answer below O A. Using the critical values of t= +2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of t2.093. O B. Using the critical values of t= ±2201 is more likely to lead to rejection of the null hypothesis than using the critical values of +2.093. O C. Using the critical values of t= ±2 201 results in rounding the test statistic to more decimal places than using the critical values of 12.093. O D. Using the critical values of t= +2201 requires fewer calculations than using the critical values of +2.093.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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For conducting a two-tailed hypothesis test with a certain data set, using the smaller of \( n_1 - 1 \) and \( n_2 - 1 \) for the degrees of freedom results in \( df = 11 \), and the corresponding critical values are \( t = \pm 2.201 \). Using the formula for the exact degrees of freedom results in \( df = 19.063 \), and the corresponding critical values are \( t = \pm 2.093 \). How is using the critical values of \( t = \pm 2.201 \) more "conservative" than using the critical values of \( \pm 2.093 \)?

Choose the correct answer below:

- A. Using the critical values of \( t = \pm 2.201 \) is less likely to lead to rejection of the null hypothesis than using the critical values of \( \pm 2.093 \).
- B. Using the critical values of \( t = \pm 2.201 \) is more likely to lead to rejection of the null hypothesis than using the critical values of \( \pm 2.093 \).
- C. Using the critical values of \( t = \pm 2.201 \) results in rounding the test statistic to more decimal places than using the critical values of \( \pm 2.093 \).
- D. Using the critical values of \( t = \pm 2.201 \) requires fewer calculations than using the critical values of \( \pm 2.093 \).
Transcribed Image Text:For conducting a two-tailed hypothesis test with a certain data set, using the smaller of \( n_1 - 1 \) and \( n_2 - 1 \) for the degrees of freedom results in \( df = 11 \), and the corresponding critical values are \( t = \pm 2.201 \). Using the formula for the exact degrees of freedom results in \( df = 19.063 \), and the corresponding critical values are \( t = \pm 2.093 \). How is using the critical values of \( t = \pm 2.201 \) more "conservative" than using the critical values of \( \pm 2.093 \)? Choose the correct answer below: - A. Using the critical values of \( t = \pm 2.201 \) is less likely to lead to rejection of the null hypothesis than using the critical values of \( \pm 2.093 \). - B. Using the critical values of \( t = \pm 2.201 \) is more likely to lead to rejection of the null hypothesis than using the critical values of \( \pm 2.093 \). - C. Using the critical values of \( t = \pm 2.201 \) results in rounding the test statistic to more decimal places than using the critical values of \( \pm 2.093 \). - D. Using the critical values of \( t = \pm 2.201 \) requires fewer calculations than using the critical values of \( \pm 2.093 \).
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