Suppose that two different studies were conducted to determine ...

[mydiamond]

Suppose that two different studies were conducted to determine whether the proportion of overweight men is 30 (null hypothesis) or different from 30 (alternative hypothesis). One study enrolled 100 men, while the other study enrolled 1000 men. Both studies resulted in the same sample proportion of overweight men, 35. However, the p-values were very different: one study gave a p-value = 0.275 while the other study gave a p-value = 0.0006 . Explain why the p-values are so different.

Question 2

Suppose that two different studies were conducted to determine whether the proportion of overweight men is 30 (null hypothesis) or different from 30 (alternative hypothesis). One study enrolled 100 men, while the other study enrolled 1000 men. Both studies resulted in the same sample proportion of overweight men, 35. However, the p-values were very different: one study gave a p-value = 0.275 while the other study gave a p-value = 0.0006 . Decide which study produced each p-value.

[ApricotDream]

Answer to Question 1

The p-values are different because the standard error of the sample proportion is much smaller for the larger sample size, resulting in a z-statistic with a larger absolute value. Confidence intervals are recommended in reporting the results of each study.

Answer to Question 2

The p-value = 0.275 belongs to the study with 100 men, while the p-value of 0.0006 belongs to the study with 1000 men.

[mydiamond]

Thank you!

[ApricotDream]

Always glad to help...