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Aliun [14]
2 years ago
7

Properties of isomorphism

Mathematics
1 answer:
nexus9112 [7]2 years ago
4 0

Answer:

If isomorphism exists between two groups, then the identities correspond, i.e. if f:G→G′ is an isomorphism and e,e′ are respectively the identities in G,G′, then f(e)=e′.

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A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05
grigory [225]
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is p=0.25.

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or p>0.25.

The test statistic in this case will be

Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}

where p_0 is the proportion assumed under the null hypothesis, \hat p is the measured proportion, and n is the sample size. You have p_0=0.25, \hat p=\dfrac{171}{171+409}\approx0.29, and n=409+171=580, so the test statistic is

Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247

Because you're testing p>p_0, this is a right-tailed test, so the P-value is

\mathbb P(Z>2.2247)\approx0.0131

The critical value for a right-tail test at a 0.05 significance level is Z_\alpha\approx1.6449, which means the rejection region is any test statistic that is larger than this critical value. Since Z>Z_\alpha in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
8 0
3 years ago
Read 2 more answers
It is for khan academy f=32+1.8c
Tresset [83]

Answer: 92.84

Step-by-step explanation:

32 + 1.8° Celsius = 92.84° Fahrenheit

8 0
3 years ago
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Write the expression that represents y increased by 5%
Anna71 [15]

Answer:

y·1.05

Step-by-step explanation:

4 0
3 years ago
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Translate to an equation and sole: The quotient of h and 26 is -52​
Svetlanka [38]

Step-by-step explanation:

-Twice means muliply by 2

-The difference of a number and 7 means subtract a number/variable and 7.

-Is equal to 9 means =9

2(X - 7) = 9

8 0
3 years ago
What is the answer for -31 = 9+ 8x? Step by Step.
ryzh [129]

Answer:

<em>-5</em>

Step-by-step explanation:

-31=9+8x

we need to isolate the variable by moving 8x to the left side and -31 to the right side....therefore 8x becomes a negative, -8x, and -31 a positive....so now it would look like...

-8x=9+31

then we work the right side out...

-8x=40

to get x we need to divide -8x by 8 so we do the same to the right side as well....

-8x=40

÷8 ÷8

so...

<em>x=-5</em>

hope this helped you- have a good day bro cya)

4 0
3 years ago
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