9. Kiara owns a very large farm with many chickens. She reads that 1 in every 1,000 eggs laid by chickens
will have two yolks. Kiara believes that double-yolk eggs are more common among the chickens on her
farm. She and her employees collect a random sample of 1,500 eggs from all the chickens on the farm.
Using a light test, they find that 4 of the eggs have two yolks. Kiara uses a significance level of a=0.05 and calculates a p-value of 0.021 What null and alternative hypotheses did Kiara use for her test, and
what conclusion can she make?
Null hypothesis: The proportion of double-yolk eggs among all eggs laid on Kiara's farm is 0.001 (same as the population proportion).
Alternative hypothesis: The proportion of double-yolk eggs among all eggs laid on Kiara's farm is greater than 0.001.
Using a significance level of 0.05 and a p-value of 0.021, Kiara rejects the null hypothesis and concludes that there is evidence to support the alternative hypothesis. This means that it is more likely for the chickens on her farm to lay double-yolk eggs than the average chicken population.