1) A = π r² = 22/7 x 10² = 314.28 in²
2)A = π r² = 22/7 x 9² = 254.57 mm²
3) radius = 1/2 diameter
r = 1/2 x 3 = 1.5 in
A = π r² = 22/7 x 1.5² = 7.07 in²
4)A = π r² = 22/7 x 14² =616 cm²
5) radius = 1/2 diameter
r = 1/2 x 1.5 = 0.75 ft
A = π r² = 22/7 x 0.75² = 1.76 ft²
Answer:
the answer to this is 7 7/10
We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05
Since the p-value is smaller than alpha, this means we <u>reject the null hypothesis</u>.
The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".
Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.
In short, the p-value being smaller than alpha = 0.05 means we reject the null.
In order to accept the null, the p-value must be 0.05 or larger.
The answer is D.
18/6=x;x
3*8=24