Please help this is for an academic grade

Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the nationa

g100num [7]

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

$(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })$

we know that

Margin of error for 95% confidence level is determined by

$M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }$

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

$(p^{-} - M.E, p^{-} + M.E)$

Given Margin of error

M.E = 0.03

Now 95% of confidence interval for the proportion

$(0.444 - 0.03, 0.444+ 0.03)$

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

6 0

3 years ago

What is the probability that a stamp chosen at random is a commemorative or a special delivery stamp?

Ksivusya [100]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

$P(\text{ getting a commemorative stamp})=0.16$

and

$P(\text{getting a special delivery stamp})=0.18$

So, we need to find,

$P(\text{getting either a commemorative or a special delivery stamp})\\=P(\text{getting a commemorative stamp})+P({\text{ getting a special delivery stamp})$

(∵they are independent events .)

$P(\text{getting either a commemorative or a special delivery stamp})\\=0.16+0.18\\=0.34$

So, option 'D' is correct.

3 0

3 years ago

Because of the high heat and low humidity in the summer in Death Valley, California, a visitor requires about one quart of water

Ulleksa [173]

Answer:

4.4 L

Step-by-step explanation:

Given:

Water required for every 2 miles = 1 quart

Total distance traveled = 15 km

Now,

1 km = 0.621 miles

thus,

15 km = 0.621 × 15 = 9.32 miles

Therefore,

Quarts of water required for 15 km (9.32 miles) = $\frac{\textup{9.32}}{\textup{2}}$ = 4.66 quarts

also,

1 quart = 0.95 L

therefore,

4.66 quarts = 4.66 × 0.95 = 4.427 ≈ 4.4 L

4 0

3 years ago

Eight times four is how much less than six squared

andreev551 [17]

8 times four is less than 6 squared by 4, because 8*4 = 32 and 6^2 = 36 then 36-32 = 4.

8 0

4 years ago

Find the length of the missing side of this right triangle.

r-ruslan [8.4K]

To this question, we have to apply the Pythagorean Theory. a-square+b-square+c-square. We know that the side which says, the square root of 3, it would just be 3. The Hypotenuse is 6. So we apply the formula reverse. 3+n= 36, because 6 squared. 36-3= 33. The square root of 33 is 5.74456264654

6 0

3 years ago

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