Answer:
No , we would not reject the null hypothesis at α = 0.05
Step-by-step explanation:
Given that a random survey of 100 students asked each student to select the most preferred form of recreational activity from five choices. Following are the results of the survey.
(Two tailed chi square test at 5% level for testing independence between gender and sports activities)
We assume H0 to be true and prepare expected values and then calculate chi square as (O-E)^2/E where O = observed value, E = expected value
Basketball Softball Swimming running Tennis
Males 21 (18.00) [0.50] 5 (4.80) [0.01] 9 (6.00) [1.50] 12 (16.20) [1.09] 13 (15.00) [0.27] 60
Females 9 (12.00) [0.75] 3 (3.20) [0.01] 1 (4.00) [2.25] 15 (10.80) [1.63] 12 (10.00) [0.40] 40
chisquare 8.4097
p value 0.077
df 4
Since p > 5% we accept null hypothesis.
No , we would not reject the null hypothesis at α = 0.05
Answer:
Therefore, the centre of the circle is in <u>( -2, 1 )</u>
and the radius of the circle is 2.
<u>Formu</u><u>la</u><u> used</u><u> </u><u>:</u><u>-</u><u>-</u><u>-</u><u>-</u><u>-</u>
equation of the circle
where r is the radius of the circle.
<h2>(A) 2 is the right answer.</h2>
So we can call the width of the rectangle x.
So then the length would be 4x.
The perimeter would then be 10x.
Since the perimeter is 70, we can say 70 = 10x.
And then simplify that to 7 = x.
So the length of a rectangle would be 28 cm, and the width would be 7.
So to find the area, just multiply length by width.
28*7 = 196 square cm
So the rectangle's area is 196 square cm.
I hope I helped!
Answer:
5 and -5 (±5)
Step-by-step explanation:
x²-8=17
x²=25
√x²=√25
x=±5