Based on a sample of 100 fly fishermen, the sociologist in question 3 fails to reject the null hypotheses. If the null hypothesis is false (and thus should have been rejected), what type of error has the sociologist made? a) Type I error
b) Type Ill error
c) Type Il error
d) User error

The type of error that the sociologist has made when he fails to reject the null hypothesis when it is false (and thus should have rejected it) is a:

c) Type II error.

Step-by-step explanation:

In Statistics, Type II error is made when the null hypothesis is accepted when it is not true (false).  The sociologist should have rejected the null hypothesis, but he fails to reject it.  He has, therefore, made a Type II error.  It is also called a "false negative." On the other hand, a Type I error is committed when the sociologist rejects the null hypothesis when he should have accepted it.  A Type I error is also called a "false positive."

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

i belive those are the ones that are under 90 degreese.