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Angelina_Jolie [31]
3 years ago
14

In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4

8% said they favor building more nuclear power plants. At ???? = 0.10, is there enough evidence to say the proportions are the same?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

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1. At a basketball championship game, students were polled and 82% of the students said that basketball is better than football.
zhuklara [117]

Step-by-step explanation:

(A)It says AT A BASKETBALL CHAMPIONSHIP so obviously most people there would’ve said basketball.

(B) Maybe try doing the whole school and not just the students at the basketball championship.

hope this helped! if you need anything else let me know. <3

8 0
3 years ago
I need help wit this
kramer

Answer:

Step one is incorrect

Step-by-step explanation:

4 0
3 years ago
Bob brought 3 autographed baseballs for show and tell. They are 1/6 of his whole collection. How many autographed baseballs are
natulia [17]
Bob brought 3 autographed baseball for show and tell.Now, that 3 autographed is said to be 1/6 of his whole collection.Let's find out how many autographed did Bob have in total.=> 3 autographed = 1/6 of his collections.To be able to have a value of 1 whole collections we need 6 1/6s=> 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1Thus, the value of his current autographed in hand will be multiplied with 6=> 3 * 6 = 18<span>Therefore, he have a total of 18 autographed.</span>
6 0
3 years ago
. Choose the method of pay that would result in the most earnings for one month on sales of $73,620. A. Straight commission of 6
stich3 [128]
For option A: Earning = 0.06 x $73,620 = $4,417.20
For option B: Earning = $3,000 + 0.02 x $73,620 = $3,000 + $1,472.40 = $4,472.40
For option C: Earning = 0.04 x $50,000 + 0.09 x ($73,620 - $50,000) = $2,000 + 0.09 x $23,620 = $2,000 + $2,125.80 = $4,125.80
For option D: Earning = 0.05 x $35,000 + 0.07 x $(73,620 - 35,000) = $1,750 + 0.07 x $38,620 = $1,750 + $2,703.4 = $4,453.40

Therefore, the method that yeilds the most earning is m<span>onthly salary of $3,000 plus 2% commission on all sales</span> .
3 0
4 years ago
Read 2 more answers
Give the ellipse 9x² + 16y2 = 144, find the equation of the diameter which bisects the chord with slope 1/2​
Genrish500 [490]

The equation of the diameter which bisects the chord with slope 1/2 is

y=-\frac{9}{8} x

The general form of the equation of given ellipse is  ax^2+by^2=c and equation of chord will be y=mx+n for some m and n.

Now in order to find values of x that intercept the ellipse it must fulfill the equation as such;

ax^2+b(mx+n)^2=c

(a+bm^2)x^2+2bmnx+bn^2 - c=0

<h3 /><h3>What is the definition of an ellipse?</h3>

It is a plane section curve whose sum from two fixed points will be a constant value.

Quadratic roots will give the mid value of x and value of y will be ;

X=\frac{-b}{2a} =\frac{-bmn}{a+bm^2}

Y=n-\frac{bm^2n}{a+bm^2} =\frac{an}{a+bm^2}

Thus the final equation of required diameter will be :

y=\frac{Y}{X} x=-\frac{a}{bm} x

And in this case the equation of the diameter which bisects the chord with slope 1/2 is,

y=-\frac{9}{8} x

Learn more from here quadratic equations,

brainly.com/question/14281133

# SPJ1

5 0
1 year ago
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