You are conducting a study to see if the proportion of men over 50 who regularly have their prosta examined is significantly more than 0.19. You use a significance level of a = 0.001. Ho:p = 0.19 H₁:p> 0.19 You obtain a sample of size n = 170 in which there are 41 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.19. You use a significance level of \( \alpha = 0.001 \).

\[
H_0: p = 0.19 \\
H_1: p > 0.19
\]

You obtain a sample of size \( n = 170 \) in which there are 41 successes.

**What is the test statistic for this sample?** (Report answer accurate to three decimal places.)  
test statistic = [ ]

**What is the p-value for this sample?** (Report answer accurate to four decimal places.)  
p-value = [ ]

The p-value is...
- ○ less than (or equal to) \( \alpha \)
- ○ greater than \( \alpha \)

This test statistic leads to a decision to...
- ○ reject the null
- ○ accept the null
- ○ fail to reject the null
Transcribed Image Text:You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.19. You use a significance level of \( \alpha = 0.001 \). \[ H_0: p = 0.19 \\ H_1: p > 0.19 \] You obtain a sample of size \( n = 170 \) in which there are 41 successes. **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) test statistic = [ ] **What is the p-value for this sample?** (Report answer accurate to four decimal places.) p-value = [ ] The p-value is... - ○ less than (or equal to) \( \alpha \) - ○ greater than \( \alpha \) This test statistic leads to a decision to... - ○ reject the null - ○ accept the null - ○ fail to reject the null
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