Question

QUESTION 28

1. A garden center wants to know if the germination rate for seeds decreases after a year of storage. A test packet of seeds that advertised a germination rate of 85% had 158 out of 200 seeds sprout after one year of storage. The garden center wishes to conduct a test: H _o: p = .85 versus H _a: p < .85, using significance level 0.10. Which of the following would represent a Type I error?

   		Concluding that the true proportion of seeds that germinate IS less than .85 when it is less than 0.85
   		Concluding that the true proportion of seeds that germinate is not less than .85 when it is not less than 0.85
   		Concluding that the true proportion of seeds that germinate is not less than .85 when it is less than 0.85
   		Concluding that the true proportion of seeds that germinate IS less than .85 when it is not less than 0.85
   		Both c and d

Answer 1

Answer:

Concluding that the true proportion of seeds that germinate IS less than .85 when it is not less than 0.85

Explanation:

Type I error occurs when we reject the null hypothesis when it is true. For the given scenario, the type I error occurs when we reject that the true proportion is 0.85 when in fact it is 0.85. This means, type I error occurs when we conclude that the true proportion of seeds that germinate IS less than .85 when it is not less than 0.85.