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sleet_krkn [62]
3 years ago
13

Please help.................

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
I’m pretty sure it’s b
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A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At a
zubka84 [21]

Answer:

Z = -1.333

P-value  = 0.09176

Decision Rule: Reject H_o if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is \hat p = 0.48

To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5

The null hypothesis and the alternative hypothesis can be computed as:

H_o : p \geq 0.50

H_1 : p < 0.50

Using the Z test statistics which can be expressed by the formula:

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

Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}

Z = \dfrac{-0.02}{0.015}

Z = -1.333

P-value = P(Z< -1.33)

From z tables,

P-value  = 0.09176

The level of significance ∝ = 0.05

Decision Rule: Reject H_o if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

5 0
3 years ago
The sum of 3 consecutive odd numbers is 63. what is the smallest of these numbers
PIT_PIT [208]

Let, the numbers = x, (x+2), (x+4)

x+x+2+x+4 = 63

3x+6=63

3x=57

x = 19

so, smallest number would be 19

8 0
3 years ago
Solving Inequalities <br> -6x+2&gt;20
miv72 [106K]

Answer:

first you subtract 2 from both sides

-6x>18

then you divide

-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3

8 0
3 years ago
Read 2 more answers
Oliver took a taxi from his house to the airport. The taxi company charged a pick-up
Pepsi [2]

Answer:

$4.70 + $4.75m = $18.95 which is 3 miles in total.

Step-by-step explanation:

First make the numbers without the variables on one side.

4.75m = 18.95-4.70

Then subtract.

4.75m = 14.25

Finally divide the two numbers.

14.25 ÷ 4.75 = 3 miles

Answer:  m = 3  or 3 miles

3 0
3 years ago
Read 2 more answers
A rectangular painting has an area of (2x^2+ 8x+ 6) cm^2. Its length is (2x + 2) cm. Find the width of the painting.
ElenaW [278]

Answer:

(x + 3) cm.

Step-by-step explanation:

Area = 2x^2 + 8x + 6

= (2x + 2)(x + 3)

The width = area / length

= (2x + 2) (x + 3) / (2x + 2)

= x + 3 cm.

8 0
3 years ago
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