A researcher conducted a study to see if there are differences in mean prostate-

Question

A researcher conducted a study to see if there are differences in mean prostate-specific antigen (PSA) levels between men aged > 50 years and men aged at 50 years. The sigificance level was set at p < 0.05. The researcher hypothesizes that there will be a difference in mean PSA between the two groups. We are assuming that PSA levels have a symmetric distribution. The 95% confidence interval for the difference in mean PSA between age groups was (0.2, 6.0). What can you conclude from this confidence interval?

We are 95% confident that the estimated mean PSA level for men aged at 50 years is 0.2 and for men aged >50 years is 6.0.

We are 95% confident that mean PSA levels between the two groups are the same.

We are 95% confident that the mean PSA levels between the two groups are different.

We do not have enough information to form a conclusion.

We are 95% confident that the estimated mean PSA level for men aged at 50 years is 0.2 and for men aged >50 years is 6.0.

We are 95% confident that mean PSA levels between the two groups are the same.

We are 95% confident that the mean PSA levels between the two groups are different.

We do not have enough information to form a conclusion.

Explanation / Answer

Since p value is less than significance level ,and the confidence interval includes 0, that means we rejects the null hypothesis of equality, Hence the conclusion is

Option c) We are 95% confident that the mean PSA levels between the two groups are different.

Answer: Option c) is correct.

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