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!