So in simplest form it would be 1/4
Determine if b is a linear combination of a1, a2, and a3. a1equals [Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Colum
n negative 3 3rd Row 1st Column 0 EndMatrix ], a2equals [Start 3 By 1 Matrix 1st Row 1st Column 0 2nd Row 1st Column 1 3rd Row 1st Column 3 EndMatrix ], a3equals [Start 3 By 1 Matrix 1st Row 1st Column 5 2nd Row 1st Column negative 5 3rd Row 1st Column 30 EndMatrix ], bequals [Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column negative 3 3rd Row 1st Column 9 EndMatrix ]
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So in simplest form it would be 1/4
Answer:
The 99% confidence interval for his expected proportion of the vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for his expected proportion of the vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.