Critical regions get larger as α values get smaller. T or F, and why or why not?

Question

Critical regions get larger as α values get smaller.  T or F, and why or why not?

amistre64 · Answer

which part defines the critical region, Ho or H1?  i cant recall.... im pretty sure its H1 tho

dboyette · Answer

Ho right?

amistre64 · Answer

an "a" value is either defined as the area in the tail, or as the zscore associated with it.  Im inclined to say its area tho

amistre64 · Answer

id have to look it up on the google to be sure :)

dboyette · Answer

oh ok good idea thanks

amistre64 · Answer

shaded area IS critical region; so its the H1

now to determine if "a" is the value of the shade or the value of the zscore

amistre64 · Answer

Za is denoted as the test statistic, so "a" itself is the value of the defined area of the critical region

amistre64 · Answer

as the region gets larger; the area increases

amistre64 · Answer

so id say the answer is false

dboyette · Answer

oh ok it's and increase in bothh

amistre64 · Answer

correct

amistre64 · Answer

if you increase the air inside of a balloon .... the balloon expands

amistre64 · Answer

same concepts here

dboyette · Answer

it makes more sense looking at it like that