Susan goes to her doctor because she thinks she is ill. (a) What is H0, Ha?
(b) Type I error? Type II error?
(c) Which of the errors are more serious and why?

a) Alternative and null hypotheses:

H0 : Susan is ill

Ha : Susan is not ill

b) Type I error:

In type I error, the  null hypothesis, H0 is rejected, even though it is correct.

The type I error here: We conclude Susan is not ill, even though she is ill.

Type II error:

In type II error, we fail to reject null hypothesis, H0, even though it is false.

Type II error here: We conclude Susan is ill, even though she is not ill.

c) The type I error is more serious.

In the type I error here, we conclude Susan is not sick even though she is sick, which is a very dangerous thing to do health wise.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is