Leah claims the data in the table contains a cluster. why is leah’s statement true
2 answers:
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Given
There are four defenders on a soccer team
if this represents 20 percent of the players on the team
Find out the total number of players on the team.
To proof
As given in question
four defenders on a soccer team
this represents 20 percent of the players on the team
let the total number of players = x
First convert 20% in the decimal form
Than the equation becomes
0.20x =4
now solving the above equation
we get
x = 20
thus the total number of players on the team are 20.
Hence proved
Answer:
test statistic (Z) is 2.5767 and p-value of the test is .009975
Step-by-step explanation:
: percentage of students who smoke did not change
: percentage of students who smoke has changed
z-statistic for the sample proportion can be calculated as follows:
z= where
- p(s) is the sample proportion of smoking students (
=0.25)
- p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
- N is the sample size (200)
Then, z= ≈ 2.5767
What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.
This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years