176 rounds up to 180
17 rounds up to 20
The fact we're rounding up both times means we'll have an overestimate
estimate = 180*20 = 3600
actual result = 176*17 = 2992
Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:
(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.
But a= 2x and b=y, plug in:
(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵
32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵
The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2
Answer:
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
Step-by-step explanation:
A. <em>One has 90% confidence that the sample proportion is equal to the population proportion. </em>
Confidence interval gives an interval estimate, not an equality
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
<em>Ture. </em>
<em>C.</em><em> One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. </em>
Also true but <em>One has 90% confidence is not good interpretation. </em>
<em>D</em><em>. 90% of sample proportions will fall between the lower bound and the upper bound.</em>
<em>Lower bound and upper bound is given to estimate population proportion. </em>