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irakobra [83]
3 years ago
8

Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage

of blue candies is equal to 27​%. Use a 0 .05 significance level to test that claim. Identify the test statistic for this hypothesis test. find the P-value for this hypothesis test
Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

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OLga [1]

50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

Step-by-step explanation:

Given,

Weight of small box of paper = 50 pounds

Weight of large box of paper = 80 pounds

Total weight of boxes = 1750 pounds

Let,

x represent the number of small boxes of papers.

y represent the number of large boxes of papers.

According to given statement;

50x+80y=1750

y = x+4  

50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

3 0
3 years ago
Hi ! How to solve this question?
tester [92]

You should actually have

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4 0
3 years ago
Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived
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4 0
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saul85 [17]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Sphinxa [80]
The answer is B) 4
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