1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IceJOKER [234]
3 years ago
12

A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use

a 0.050.05 significance level to test the claim that under the same​ circumstances, 2727​% of offspring peas will be yellow. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method and the normal distribution as an approximation to the binomial distribution.
Mathematics
1 answer:
navik [9.2K]3 years ago
8 0

Answer:

The null hypothesis: \mathbf{H_o: p=0.27}

The alternative hypothesis: \mathbf{H_1: p \neq 0.27}

Test statistics : z = −2.30

P-value:  = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

Step-by-step explanation:

From the given information:

Let's state the null and the alternative hypothesis;

Since The claim is that 27%  of the offspring peas will be yellow.

The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.

i.e

\mathbf{H_o: p=0.27}

The alternative hypothesis  state that the proportion of offspring peas will be yellow is not equal to 0.27

\mathbf{H_1: p \neq 0.27}

<u>The test statistics:</u>

we are given 437 green peas and 129 yellow apples;

Hence;

\hat p = \dfrac{x}{n}

where ;

\hat p = sample proportion

x = number of success

n = total number of the sample size

\hat p = \dfrac{129}{437+129}

\hat p = \dfrac{129}{566}

\mathbf{\hat p = 0.2279}

Now; the test statistics can be computed as :

z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n}  } }

z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566}  } }

z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }

z = \dfrac {-0.043 }{0.01866} }

z = −2.30

C. P-value

P-value = P(Z < z)

P-value = P(Z< -2.30)

By using the ​ P-value method and the normal distribution as an approximation to the binomial distribution.

from the table of standard normal distribution

move left until the first column is reached. Note the value as –2.0

move upward until the top row is reached. Note the value as 0.30

find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of

z = -2.30

P- value = 2P(z ≤ -2.30)

P-value = 2 × 0.01072

P - value = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

You might be interested in
Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minu
ollegr [7]
The correct answer is B
8 0
3 years ago
Reduce the fraction 36/48 to its lowest
KonstantinChe [14]

Answer:

3/4

Step-by-step explanation:

36/48

Divide the top and bottom by 12

36/12 = 3

48/12 =4

36/48 = 3/4

4 0
3 years ago
Read 2 more answers
What is the area to this shape and tell me why pls I need help asap tonight
LUCKY_DIMON [66]
I'm sorry I can't see it clearly.
6 0
3 years ago
Read 2 more answers
Does anyone know what lesson this is i took these notes are they good
Nezavi [6.7K]

Answer:

ngl i learned this type of math pretty sure, and that looks better than my teachers own notes-

Step-by-step explanation:

ima go poof again cuz if i don't ima lose my game ;-;

7 0
3 years ago
Read 2 more answers
Pls help ASAP!! Soon it’s urgent
melisa1 [442]

question 5 a

question 6 c

question 7 b

8 0
3 years ago
Other questions:
  • How to find the shaded region of a circle with a rectangle inside?
    15·1 answer
  • Arwen uses a dropper that produces drops that have a volume of 1/8 mL to fill a 30 mL test tube how many drops does it take to f
    11·1 answer
  • What is the contrapositive of "If it is Tuesday then Marie has soccer practice?
    9·1 answer
  • Please help me!
    11·1 answer
  • Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the exp
    6·2 answers
  • 30 points PLEASE HELP!!!!
    10·1 answer
  • Can anyone answer this please
    13·1 answer
  • What is the precent of increase from 5 to 6?
    14·2 answers
  • Ther are 9 thirds in 3 ones a multiply and divide equashon
    9·1 answer
  • 22 loaves of bread have 506 slices of bread how many slices of bread do 6 loaves have
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!