Question

statistics 10

(a). Explain type I error and type II error in hypothesis.

b) Test the hypothesis using

If n=300; x = 75; α= 0.01

left to right problem

Answer 1

Solution:-

A)

Type 1 Error:-

In statistical testing hypothesis a type 1 error is the rejection of a true null hypothesis.

Thta is reject
он
when
HO
is true.

Type 2 Error:-

In statistical hypothesis testing a type 2 error is the accept of a false null hypothesis.

That is

Accept
HO
when
он
is false.

B)

To test:

:P=0.6 Verses H₁:P>0.6

он

n=300, and x=75,, and

α = 0,01

2 p= n

75 300

The test statistic is :

P-P SE 20/23

Where S.E is

p(1-P) S.E n

¥0.6 +0.4 300

SE= 0.028

Under

он

2a/2 20.005) 2.576

Here $z<z_{\alpha/2}$

Therefore we may failed to reject .

он