Answer:
1. 1,800
2. 500
3. 36,500.03
4. 86.3
Step-by-step explanation:
If you need me to show the work comment and I'll send it to you.
Answer:
The null hypothesis can't be rejected.
Step-by-step explanation:
Given information:
Null hypothesis:
H₀ : π ≤ 0.70
Alternative hypothesis:
H₁ : π > 0.70
We need to check whether the null hypothesis is rejected or accepted.
If P-value < α, then we reject the null hypothesis H₀.
If P-value ≥ α, then we accept the null hypothesis H₀.
A sample of 100 observations revealed that p = 0.75 at the 0.05 significance level.
Here 0.75>0.05, it means p > α, therefore we can not reject the null hypothesis.
a. Recall the double angle identities:


Then

Applying the identity again, we have

as required.
b. Using the result from part (a),



(where
is any integer)

The answer is B 4/5.
Hope this helps