Seventy-three successes were observed in a random sample of n = 120 observations from a binomial population. You wish to show that p > 0.5 USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) Z= Calculate the p-value. (Round your answer to four decimal places.) p-value = Do the conclusions based on a fixed rejection region of z> 1.645 agree with those found using the p-value approach at a = 0.05? O Yes, both approaches produce the same conclusion. O No, the p-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis. O No, the fixed rejection region approach rejects the null hypothesis when the p-value approach fails to reject the null hypothesis. Should they? O Yes O No

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Seventy-three successes were observed in a random sample of \( n = 120 \) observations from a binomial population. You wish to show that \( p > 0.5 \).

**Calculate the appropriate test statistic. (Round your answer to two decimal places.)**

\( z = \) [Textbox]

**Calculate the \( p \)-value. (Round your answer to four decimal places.)**

\( p \)-value = [Textbox]

**Do the conclusions based on a fixed rejection region of \( z > 1.645 \) agree with those found using the \( p \)-value approach at \( \alpha = 0.05 \)?**

- ( ) Yes, both approaches produce the same conclusion.
- ( ) No, the \( p \)-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis.
- ( ) No, the fixed rejection region approach rejects the null hypothesis when the \( p \)-value approach fails to reject the null hypothesis.

**Should they?**

- ( ) Yes
- ( ) No
Transcribed Image Text:Seventy-three successes were observed in a random sample of \( n = 120 \) observations from a binomial population. You wish to show that \( p > 0.5 \). **Calculate the appropriate test statistic. (Round your answer to two decimal places.)** \( z = \) [Textbox] **Calculate the \( p \)-value. (Round your answer to four decimal places.)** \( p \)-value = [Textbox] **Do the conclusions based on a fixed rejection region of \( z > 1.645 \) agree with those found using the \( p \)-value approach at \( \alpha = 0.05 \)?** - ( ) Yes, both approaches produce the same conclusion. - ( ) No, the \( p \)-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis. - ( ) No, the fixed rejection region approach rejects the null hypothesis when the \( p \)-value approach fails to reject the null hypothesis. **Should they?** - ( ) Yes - ( ) No
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