Question

Which hypotheses should be used to test if the proportion of genetic abnormalities has increased in recent years?

H0: p = 0.1 vs. Ha: p ≠ 0.1
H0: p = 0.1222 vs. Ha: p ≠ 0.1222
H0: p = 0.1222 vs. Ha: p > 0.1222
H0: p = 0.1 vs. Ha: p < 0.1

Answer 1

The appropriate hypothesis to test if the proportion of genetic abnormalities has increased in recent years is H0: p = 0.1 vs. Ha: p ≠ 0.1.

Step-by-step explanation:

To test if the proportion of genetic abnormalities has increased in recent years, the appropriate hypothesis to use is H0: p = 0.1 vs. Ha: p ≠ 0.1. This hypothesis states that the proportion of genetic abnormalities is equal to 0.1, and the alternative hypothesis allows for any other value that is not equal to 0.1.

The other hypotheses provided, H0: p = 0.1222 vs. Ha: p ≠ 0.1222 and H0:

p = 0.1222 vs. Ha: p > 0.1222, do not align with the question as they reference a specific proportion of 0.1222.

The hypothesis H0: p = 0.1 vs. Ha: p < 0.1 is also not suitable as it assumes the proportion of genetic abnormalities is less than 0.1, which is not stated in the question.