Question

Ambrosone et al. (2004) conducted an observational study to explore whether broccoli consumption reduces the risk of developing breast cancer in premenopausal women. They report a p-value of 0.058. PROPOSITION ONE: The results suggest a statistically significant association between broccoli consumption and reduced risk of breast cancer at the 5% significance level; PROPOSITION TWO: The results prove the null hypothesis at the 5% significance level.

a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above

Answer 1

c. PROPOSITION ONE is false and PROPOSITION TWO is true

Explanation:

In this question, we have that:

pvalue of 0.058

Significance level of 0.05

The pvalue is larger than the significance level, which means that there is no statistically significant association(Propostion One is false), and the null hypothesis is not rejected, that is, it is proved, so Proposition Two is true.

This means that the correct answer is given by option C.