Question

Ho p(greater than and equal to) .15

H p( less than) .15

z= -1.176

p value =.1190 > .05

so we fail to reject our null hypothesis.

95% confidence interaval = .1387 (plus minus) .01886015

between 12% and 15.76%

when would the consortium make a type 1 error? When would the consortium make a type II error? In addition to a narrative explanation of these types of errors, also create a table to help in the understanding of these types of errors in the specific application and context of this case.

Answer 1

Type I error would be when we reject the true null hypothesis

and

type II error will be when we accept the false null hypothesis

Type I error will be concluding that true proportion is less than 0.15 while in actual it is greater than or equal to 0.15

and

type II error will be concluding that true proportion is greater than or equal to 0.15, while in actual it is less than 0.15

		reality
		Ho is true	Ho is false
conclusion	fail to reject Ho	correct decision	type II error
	reject Ho	Type I error	correct decision