In the article foods, fortificants, and supplements: where do americans get their nutrients? researchers analyze the nutrient and vitamin intake from a random sample of 16,110 u. s. residents. researchers compare the level of daily vitamin intake for vitamin a, vitamin b-6, vitamin b-12, vitamin c, vitamin d, vitamin e and calcium. unless otherwise stated, all hypothesis tests in the study are conducted at the 5% significance level.

to test the claim (at 5% significance) that the proportion of u. s. residents who consume recommended levels of vitamin a is higher among women than men, researchers set up the following hypotheses:

in this hypothesis test which of the following errors is a type i error?

a)researchers conclude that a larger proportion of women consume the recommended daily intake of vitamin a when there is actually no difference between vitamin a consumption for women and men.
b) researchers conclude that there is no difference between vitamin a consumption for women and men when actually a larger proportion of women consume the recommended daily intake of vitamin a.