11/1/2020 MyOpenMath Below is a hypothesis test set up by a student who recently took introductory statistics: Ho: x = 5 HA: x = 5 The sample mean of 100 cases used to implement the hypothesis test is x = 4.2. Which of the following statements are accurate? i. This is a one-sided hypothesis test. ii. There is an error in how these hypotheses were constructed. iii. It would be reasonable to swap "<" for "z" in the alternative hypothesis. Oi only ii only iii only i and ii i and iii ii and iii

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Below is a hypothesis test set up by a student who recently took introductory statistics:

\[ H_0: \bar{x} = 5 \]

\[ H_A: \bar{x} \neq 5 \]

The sample mean of 100 cases used to implement the hypothesis test is \(\bar{x} = 4.2\). Which of the following statements are accurate?

i. This is a one-sided hypothesis test.

ii. There is an error in how these hypotheses were constructed.

iii. It would be reasonable to swap "<" for "≠" in the alternative hypothesis.

Options:
- ☐ i only
- ☐ ii only
- ☐ iii only
- ☐ i and ii
- ☐ i and iii
- ☐ ii and iii
Transcribed Image Text:Below is a hypothesis test set up by a student who recently took introductory statistics: \[ H_0: \bar{x} = 5 \] \[ H_A: \bar{x} \neq 5 \] The sample mean of 100 cases used to implement the hypothesis test is \(\bar{x} = 4.2\). Which of the following statements are accurate? i. This is a one-sided hypothesis test. ii. There is an error in how these hypotheses were constructed. iii. It would be reasonable to swap "<" for "≠" in the alternative hypothesis. Options: - ☐ i only - ☐ ii only - ☐ iii only - ☐ i and ii - ☐ i and iii - ☐ ii and iii
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