Question

Suppose that an allergist wishes to test the hypothesis that at least 30% of the public is allergic to some cheese products. Set up the appropriate hypotheses (H0 and H1).

a) H0: p ≥ 0.30, H1: p < 0.30
b) H0: p = 0.30, H1: p ≠ 0.30
c) H0: p ≤ 0.30, H1: p > 0.30
d) H0: p > 0.30, H1: p ≤ 0.30

Answer 1

The appropriate hypotheses for this test are: H0: p ≥ 0.30, H1: p < 0.30. These hypotheses are based on the allergist's wish to test if at least 30% of the public is allergic to some cheese products.

Step-by-step explanation:

The appropriate hypotheses for this test are:

H0: p ≥ 0.30

H1: p < 0.30

These hypotheses are based on the allergist's wish to test if at least 30% of the public is allergic to some cheese products. H0 represents the null hypothesis, stating that the proportion of the public allergic to cheese products is greater than or equal to 30%.

H1 represents the alternative hypothesis, stating that the proportion is less than 30%. By setting up these hypotheses, the allergist can conduct a hypothesis test to determine if there is enough evidence to support the claim that at least 30% of the public is allergic to cheese products.