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BaLLatris [955]
2 years ago
11

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the ar

ea. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis
Mathematics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u><em> The sample statistic does not differ significantly from the hypothetical parameter value.</em>

<em>Given data </em>

<em>Null hypothesis: H₀ : μ = 0.41</em>

<u>Alternative Hypothesis:</u><em> Any hypothesis which is complementary to the Null hypothesis</em>

<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>

<em> </em>

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10.) state whether the given side lengths can form a triangle
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Answer:

A. 5,8,12, side lengths can form a triangle.

B. 20, 18, 2, side lengths can not form a triangle.

C. 15, 26 , 9, side lengths can not form a triangle.

D. 4.75, 12.25, 16.25, side lengths can form a triangle.

Step-by-step explanation:

We are given three sides in options A, B , C and D.

We need to check if the given sides would form a triangle or not.

Note: Sum of two sides is always greater than third sides in a triangle.

So, we need to check the sum of two sides of given sides length to check if sum is greater than third side length.

A. 5,8,12.

5+8 is greater than 12.

5+12 is greater than 8.

12+8 is greater than 5.

Therefore A. 5,8,12, side lengths can form a triangle.

B. 20, 18, 2

18+2 is not greater than 20.

Therefore B. 20, 18, 2, side lengths can not form a triangle.

C. 15, 26 , 9

15+9 is less than 26.

Therefore C. 15, 26 , 9, side lengths can not form a triangle.

D. 4.75, 12.25, 16.25.

4.75+12.25 is greater than 16.25.

4.75+16.25 is greater than 12.25.

12.25+16.25 is greater than 4.75.

Therefore D. 4.75, 12.25, 16.25, side lengths can form a triangle.


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hope this helps

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