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Svetach [21]
4 years ago
7

A space capsule crashes to earth with an alien life form aboard. Two creatures emerge from the capsule, one with green skin and

one with yellow skin. The yellow creature soon gives birth to offspring fathered by the green creature, producing 12 green and 8 yellow offspring. Green skin in these diploid creatures is dominant to yellow skin. You are curious to find out if the number of offspring significantly different from expected Mendelian ratios, so you perform a chi-square test. What is the chi-square value for this cross

Mathematics
1 answer:
Likurg_2 [28]4 years ago
6 0

Answer:

0.8

Step-by-step explanation:

Given that, the green skin (G) is dominant to yellow (Y). Cross between the green creature and yellow creature will have the offspring with the following genotypes.

Gg* yy = Gy, Gy, gy, gy (Means, 1:1 ratio of green and yellow offspring, but the observed values are in 3:2 (12:8) ratio).

Now, the Chi-square value can be calculated as follows. (O= Observed, E= Expected)

See attachment for the chi square

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A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any
Misha Larkins [42]

Answer:

a) p_A represent the real population proportion for women

\hat p_A =\frac{123}{150}=0.82 represent the estimated proportion for women

n_A=150 is the sample size selected for women

b) p_B represent the real population proportion for male

\hat p_B =\frac{102}{170}=0.6 represent the estimated proportion for male

n_B=170 is the sample size selected for male

c) (0.82-0.6) - 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.124  

(0.82-0.6) + 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.316  

And the 95% confidence interval would be given (0.124;0.316).  

We are confident at 95% that the difference between the two proportions is between 0.124 \leq p_A -p_B \leq 0.316

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Part a

p_A represent the real population proportion for women

\hat p_A =\frac{123}{150}=0.82 represent the estimated proportion for women

n_A=150 is the sample size selected for women

Part b

p_B represent the real population proportion for male

\hat p_B =\frac{102}{170}=0.6 represent the estimated proportion for male

n_B=170 is the sample size elected for male

z represent the critical value for the margin of error  

Part c

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

(0.82-0.6) - 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.124  

(0.82-0.6) + 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.316  

And the 95% confidence interval would be given (0.124;0.316).  

We are confident at 95% that the difference between the two proportions is between 0.124 \leq p_A -p_B \leq 0.316

8 0
3 years ago
The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorin
coldgirl [10]

Answer:

hgdhfxgvhcxgbdchgchndthdkugjyfdytdfjhfdhtdchyfgfr6uyry5ri8yytiu7rue

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
A membership committee of three is formed from four eligible members. let the eligible members be represented by a, b, c, and d.
Lynna [10]

The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1)

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

2)

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3)

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

4)

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5)

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

Learn more about Combinations:

brainly.com/question/4658834

#SPJ4

3 0
3 years ago
Which is an equation of the line that has a slope of 1/2 and passes through the point (2, 4)?
irina1246 [14]

Answer:  y = \frac{1}{2}x +3  (Choice A)

Work Shown:

y - y_1 = m(x - x_1)\\\\y - 4 = \frac{1}{2}(x - 2)\\\\y - 4 = \frac{1}{2}x + \frac{1}{2}(- 2)\\\\y - 4 = \frac{1}{2}x - 1\\\\y = \frac{1}{2}x - 1+4\\\\y = \frac{1}{2}x +3\\\\

Explanation: I started with the point-slope form. Then I plugged in the given slope m = 1/2 and the point (x1,y1) = (2,4). Afterward I solved for y.

The answer is in slope-intercept form y = mx+b

3 0
1 year ago
The ball's height( in meters above the ground), x seconds after Amir threw it, is modeled by : h(x)=-(x-2)^2 +16 what is the hei
Bess [88]

Answer:

20 m

Step-by-step explanation:

The height of the ball in metres is given as:

h(x) = (x-2)^2 + 16

where xis time, in seconds.

At the instant that the ball is thrown, the time is 0 seconds. This means that the height will be h(0):

h(0) = (0 - 2)^2 + 16\\\\\\h(0) = (-2)^2 + 16\\\\\\h(0) = 4 + 16\\\\\\h(0) = 20 m

The height of the ball is 20 metres.

3 0
4 years ago
Read 2 more answers
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