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Naya [18.7K]
3 years ago
12

The end of the cave is 380 meters below surface of the earth generate an integer to reoresent this profit

Mathematics
1 answer:
RSB [31]3 years ago
5 0

The question says that the end of the cave is 380 meters below.

Lets say  the sea level or the surface is at 0 meters or we can say that  it is the reference level for us.

Now if we go up the height will be measured with positive integer but if we go down the depth will be represented by  a negative integer.

Negative integer also represents the depth or the distance below the surface level.

Here we need to generate an integer that can represent the depth of 380 meters.

So if we are going down we will use negative integer to represent.

Therefore, the integer to represent the depth is -380 meters.

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We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

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Here, random guess means; p = 50%

So, Null Hypothesis, H_0 : p = 50%     {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, H_A : p \neq 50%     {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                         T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

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So, <em><u>test statistics</u></em>  =  \frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }  

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The value of z test statistics is -3.395.

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Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

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