Question

If H0

: P ≤ 6.0 and X ~ B(n, p)n -known and p unknown and 1 0 H :µ = µ where 

X ~ N

2 2

(µ,σ )σ unknown, then H0

 and H1

 are simple null hypothesis.

Answer 1

$H_o:P\le 6.0$

Where, X~B(n,p)

Here n is known But p is unknown. So we have to calculate value of p and then comparing with the given value, so Given Hypothesis is Null hypotheis.

Second Hypothesis

$H_1:\mu=\mu_o$ Here $\mu$ and $\sigma$ are unknown, This is also a Null hypothesis Which aims to compare the population means.

Hence $H_o \text{ and } H_1$ and Simple Null Hypothesis.