Answer:
a = 62
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
a + 47+71 = 180
Combine like terms
a +118 = 180
Subtract 118 from each side
a+118-118=180-118
a =62
Answer:
45-18=27 Greeting cards
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Area of rectangle (A)=Length (L) × Width (W)
A=12×5
A=60
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.
