New road signs are made with the intention of improving visibility to drivers. H
ID: 3066834 • Letter: N
Question
New road signs are made with the intention of improving visibility to drivers. Highway safety engineers setup a test course that included both the old and the new signs. Volunteers drove the test course and rated the old and new signs in terms of visibility. Write the null and improved visibility" a) alternative hypotheses "in words" using "improved visibility" and "not b) Using the hypotheses, write what would constitute a TYPE I error in the context of the problem c) What would be the consequence of the TYPE I error? d) What would be a TYPE II error in the context of the problem? e) What would be the consequence of the TYPE II error?Explanation / Answer
a) Null Hypothesis Ho : There is no improvement between the old and new visibility.
Alternative Hypothesis H1 : There is significant difference between the old and new visibility.
b) Type 1 error : The error of rejecting Ho (accepting H1 ) when Ho is true.
For the problem type 1 error constitutes if volunteers say that there is significant difference in the old and new visibility of the road signs.
c) Consequence : There is difference between the old and new road signs.
d) Type 2 error : The error of accepting Ho when Ho is false (H1 is true).
For the problem type 2 error constitutes if volunteers say that there is no significant difference in the old and new visibility of the road signs.
e) Consequence : There is no difference in the visibility of old and new road signs.