SOLUTION: A significance test about a proportion is conducted using a significance level of 0.025. The test statistic equals 2.58. The P-value is 0.01. a. If Ho were true, for what probab

Question 888180: A significance test about a proportion is conducted using a significance level of 0.025. The test statistic equals 2.58. The P-value is 0.01.
a. If Ho were true, for what probability of a Type I error was the test designed?
0.025
b. If this test results in a decision error, what type of error was it?
Type II
Or
Type I

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A significance test about a proportion is conducted using a significance level of 0.025. The test statistic equals 2.58. The P-value is 0.01.
a. If Ho were true, for what probability of a Type I error was the test designed?
0.025
True, since alpha = 0.025
------------------------------------
b. If this test results in a decision error, what type of error was it?
Because the p-value is less than 0.025, you rejected Ho.
You rejected Ho when it was true.
That is a Type I Error.
----------------------------------
Cheers,
Stan H.
---------------
RELATED QUESTIONS
1) In a one-way ANOVA test, the test statistic is F = 4.25.The rejection region is F >... (answered by math_tutor2020)

In a one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F... (answered by math_tutor2020)

Use technology and a t-test to test the claim about the population mean at the given... (answered by Boreal)

Marketers believe that 60.33% of adults in the U.S. own a cell phone. A cell phone... (answered by Boreal)

Test the claim that the proportion of people who own cats is larger than 60% at the 0.025 (answered by Boreal)

Can someone please help me with the following statistic problem. Please show all the... (answered by stanbon)

Test the claim that the proportion of men who own cats is smaller than the proportion of... (answered by Boreal)

Test the claim that the proportion of men who own cats is significantly different than... (answered by Boreal)

Test the claim that the proportion of men that own cats is significantly different than... (answered by Boreal)