Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of households with Inter

Question

3 years ago

6

Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of households with Inter

net access is greater than 60%. Identify the type I error. Choose the correct answer below.
A. Reject the null hypothesis that the percentage of households with Internet access is equal to 60% when that percentage is actually equal to 60%.
B. Fail to reject the null hypothesis that the percentage of households with Internet access is greater than 60% when the percentage is actually equal to 60%.
C. Fail to reject the null hypothesis that the percentage of households with Internet access is equal to 60% when that percentage is actually greaterthan 60%.
D. Reject the null hypothesis that the percentage of households with Internet access is greater than 60% when that percentage is actually greater than 60%.

Identify the type II error. Choose the correct answer below.

A. Reject the null hypothesis that the percentage of households with Internet access is greater than 60% when that percentage is actually greater than 60%.
B. Fail to reject the null hypothesis that the percentage of households with Internet access is greater than 60% when the percentage is actually equal to 60%.
C. Fail to reject the null hypothesis that the percentage of households with Internet access is equal to 60% when that percentage is actually greater than 60%.
D. Reject the null hypothesis that the percentage of households with Internet access is equal to 60% when the percentage is actually equal to 60%.

Mathematics

1 answer:

slega [8] · Answer 1 · 2022-05-03T05:55:09+03:00

Answer:

Type I error : Option A

Type II error : Option C

Step-by-step explanation:

We are given that the percentage of households with Internet access is greater than 60%.

So, Null hypothesis, $H_0$ : p = 60%

Alternate Hypothesis, $H_1$ : p > 60%

Now, <u>Type I error states that</u> : Probability of rejecting null hypothesis given the fact that null hypothesis was true.

So, in our question Type I error will be Rejecting the null hypothesis that the percentage of households with Internet access is equal to 60% when that percentage is actually equal to 60%.

Now, <u>Type II error states that</u> : Probability of accepting null hypothesis given the fact that null hypothesis was false.

So, in our question Type Ii error will be Failing to reject the null hypothesis that the percentage of households with Internet access is equal to 60% when that percentage is actually greater than 60%.