In a class of 25 students, 15 are female and 16 have an A in the class. There are 12 students who are female and have an A in th
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Answer:
Step-by-step explanation:
Hello!
You need to create a 99% confidence interval for the difference of proportions between fans of baseball polled in March and November.
The parameter to estimate with the interval is ρ₁-ρ₂
<u>Sample 1 </u>(March)
n₁= 1001 adults aged 18 and older.
sample proportion ^ρ₁= 0.44
<u>Sample 2 </u>(November)
n₂= 1001 adults aged 18 and older.
sample proportion ^ρ₂= 0.52
This interval is constructed under a Z distribution, so you need to look in the Z-table for the statistic value:
=
= 2.58
The formula for the interval is:
[(^ρ₁-^ρ₂)±*√<u>^ρ₁(1-^ρ₁) </u>+ <u>^ρ₂(1-^ρ₂)</u>]
n₁ n₂
[(0.44-0.52)±2.58*√<u>0.44*0.56 </u>+ <u>0.52*0.48</u>]
1001 1001
[-0.137;-0.023]
Note: Although proportions take numbers from 0 to 1, keep in mind that this interval was constructed for the difference between two proportions, it's all right to have a negative interval, which means that the proportion of baseball fans in November is significantly bigger.
I hope you have a SUPER day!
Answer:
Step-by-step explanation
Given f is a direct variation equation (Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongside).
Now by the above condition let the constant be "c".Then
also given that when
on substituting the above values,
Therefore our equation is