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qwelly [4]
2 years ago
9

One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have

a 0.75 chance to be blue-flowering, and a 0.25 chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. We are interested in determining whether the data are consistent with the model or, alternatively, the chance to be blue-flowering is smaller than 0.75. For this question, find the appropriate test statistic.
Mathematics
1 answer:
IrinaVladis [17]2 years ago
8 0

Answer:

There is not enough evidence to support the claim that the chance of this cross to be blue-flowering is significantly smaller than 0.75 (P-value = 0.11).

Test statistic z=-1.225.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the chance to be blue-flowering is significantly smaller than 0.75.

Then, the null and alternative hypothesis are:

H_0: \pi=0.75\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=200.

The sample proportion is p=0.71.

p=X/n=142/200=0.71

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.75*0.25}{200}}\\\\\\ \sigma_p=\sqrt{0.000938}=0.031

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.71-0.75+0.5/200}{0.031}=\dfrac{-0.038}{0.031}=-1.225

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.11) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the chance to be blue-flowering is significantly smaller than 0.75.

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A soda manufacturer claims that on average their bottles contain 16oz of soda with an SD of 0.1oz. A regulatory agency decides t
vova2212 [387]

Answer: The chances are of the probability = 0.0001

Step-by-step explanation:

The normal distribution can be described completely by the two parameters µ and σ.

As always, the mean is the center of the distribution and the standard deviation is the measure of the variation around the mean.

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4 0
3 years ago
The sum of 4 consecutive integers is 110. Find the integers.
zloy xaker [14]

Answer:

26, 27, 28, 29

Step-by-step explanation:

Let the first integer be x.

Then, (x)+(x+1)+(x+2)+(x+3) = 110

=> x+x+1+x+2+x+3 = 110

=> 4x+6 = 110

=> 4x = 110-6

=> 4x = 104

=> x = 104/4

=> x = 26

So, the four consecutive integers are:

1. x = 26

2. x+1 = 26+1 = 27

3. x+2 = 26+2 = 28

4. x+3 = 26+3 = 29

8 0
2 years ago
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Which equation is represented by the line
gulaghasi [49]

Answer:

First, we need to find the slope of this line.

Slope is defined as rise over run, or change in y over change in x. We find two  points on this line, and see that the slope is -4.

Then, we find the y-intercept, which in this case is 0.

Using slope intercept form, our answer is y=-4x

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8 0
2 years ago
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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
5x + 5x + 2 + 6 equals 6x + 4 + 3x<br><br>plz show steps I will give you a thankyou​
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