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Andreyy89
4 years ago
5

Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject H0

for the given level of significance α. ​Two-tailed test with test statistic zequals=−2.28 and α=0.02.
Mathematics
1 answer:
Leviafan [203]4 years ago
8 0

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

  • When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic : z = -2.28

Significance level : \alpha=0.02

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

2P(Z>|z|)=2P(Z>2.28)=0.0226

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.

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If 2/x+ 3/y =13 and 5/x- 4/y = -2, then x+y equals
creativ13 [48]

Answer:

x + y =  \frac{5}{6}

Step-by-step explanation:

Let:

u =  \frac{1}{x}  \\ v =  \frac{1}{y}

This allows us to manipulate the equations like we normally would.

2u + 3v = 13 \\ 5u - 4v =  - 2 \\  \\   + 8u + 12v = 52 \\  + 15u - 12v =  - 6 \\ 23u = 46 \\ u = 2 \\  \\ 2(2) + 3v = 13 \\ 4 + 3v = 13 \\ 3v = 9 \\ v = 3

Then, we return the values where they belong.

u =  \frac{1}{x}  \\ 2 =  \frac{1}{x}  \\ x =  \frac{1}{2}  \\  \\ v =  \frac{1}{y}  \\ 3 =  \frac{1}{y}  \\ y =  \frac{1}{3}

Finally, we add:

\frac{1}{2}  +  \frac{1}{3}  =  \frac{3}{6}  +  \frac{2}{6}  =  \frac{5}{6}

7 0
3 years ago
Please help me, i don’t understand this question nor how to do it !!!!
Fantom [35]

Step-by-step explanation:

See attached picture.

First, compare the highest term of the dividend (x²) to the highest term of the divisor (x).  We need to multiply the divisor by x.

When we do that, we get x² + 5x.  Subtracting this from the dividend, we get -9x + 11.

Now repeat the process.  Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x).  We need to multiply by -9.

When we do that, we get -9x − 45.  When we subtract from the new dividend, we get 56.

So the quotient is x − 9, and the remainder is 56.

6 0
3 years ago
What number is 65% of 98
STALIN [3.7K]
To do this, you want to multiply 0.65 by 98. Basically, multiply 65 by 98 then move the decimal two places to the left. That gives you the answer. 65 times 98 gives you 6370. Move the decimal two places to the left. The answer would be 63.7.
4 0
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IRISSAK [1]

Answer:

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Step-by-step explanation:

You have a quadratic ax²+bx+c=0 with a=2, b=7, c=-5. The solution is given by the quadratic formula as ...

... x = (-b ±√(b² -4ac))/(2a)

Putting your values into the formula gives ...

... x = (-7 ±√(7²-4(2)(-5)))/(2(2))

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<em>Comment on answer choices</em>

For whatever reason, the answer choices appear to be "upside down," with numerator and denominator interchanged. The notation a/b means "a divided by b", which is to say that "b" is the denominator.

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IRINA_888 [86]
X= 10. Should be pretty easy
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