Answer:
p value from chi square = 0.081
Step-by-step explanation:
Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05
p value = 0.09
Instead of this if we do chi square
H0: Proportion of music lovers is 5% and non music lovers is 95%
Ha: Proportions are not as per the estimate
(Two tailed chi square test)
Observed 83 1917 2000
Expected 100 1900 2000
O-E -17 17 0
chi square
(O-E)^2/E 2.89 0.1521 3.0421
df =1
p value from chi square = 0.081
Though p value is not exactly the same, the conclusion in both tests are the same
This would be in a Venn Diagram in the Integers
(3)
It says the rocket was in the air for approximately 6 seconds before hitting the ground.
But the graph proves it untrue because after 6 seconds it is still in the air, rather than on the ground like (3) suggests.
Actually, you have to find four missed terms of geometrical sequence. Denote
and r - ratio, then
.
Since 
, you have that 
, then
.
Now substitude r=2 in each of unknown 4 terms:
.
Answer: four geometric means between 25 and 800 are 50, 100, 200, 400.
