Evaluate (-A) 2 for A = 5, B = -4, and C= 2. 0-25 -10 10 25

A poll finds that 54% of the 600 people polled favor the incumbent. Shortly after the poll is taken, it is disclosed that the in

Galina-37 [17]

Answer:

The value of z test statistics is 1.561.

Step-by-step explanation:

We are given that a poll finds that 54% of the 600 people polled favor the incumbent.

Shortly after the poll is taken, it is disclosed that the incumbent had an extramarital affair. A new poll finds that 50% of the 1030 polled now favor the incumbent.

Let $p_1$ = population proportion of people who favor the incumbent in the first poll

$p_2$ = population proportion of people who favor the incumbent in the second poll

So, Null Hypothesis, $H_0$ : $p_1\geq p_2$ {means that his support has increased or remained same after the second poll}

Alternate Hypothesis, $H_0$ : $p_1 < p_2$ {means that his support has decreased after the second poll}

The test statistics that would be used here is Two-sample z test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of people who favor the incumbent in first poll = 54%

$\hat p_1$ = sample proportion of people who favor the incumbent in second poll = 50%

$n_1$ = sample of people in first poll = 600

$n_2$ = sample of people in second poll = 1030

So, the test statistics = $\frac{(0.54-0.50)-(0)}{\sqrt{\frac{0.54(1-0.54)}{600}+\frac{0.50(1-0.50)}{1030} } }$

= 1.561

Hence, the value of z test statistics is 1.561.

6 0

3 years ago

How to solve -66.17738=6.618(4.3x+1.1)-7.1(x-6.8) have not done algebra in 30 years and cannot help my son with this problem

fenix001 [56]

Let's solve your equation step-by-step.

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

Step 1: Simplify both sides of the equation.

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)

−66.17738=28.4574x+7.2798+−7.1x+48.28

−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)

−66.17738=21.3574x+55.5598

Step 2: Flip the equation.

21.3574x+55.5598=−66.17738

Step 3: Subtract 55.5598 from both sides.

21.3574x+55.5598−55.5598=−66.17738−55.5598

21.3574x=−121.73718

Step 4: Divide both sides by 21.3574.

21.3574x

21.3574

=

−121.73718

21.3574

x=−5.7

4 0

3 years ago

Read 2 more answers

What do the following two equations represent? y-8 +5) y-8- +5) Choose 1 answer: The same line Distinct parallel lines Perpendic

Over [174]

Answer:

I think it would be y-3-m

7 0

3 years ago

protocol for flushing a cooling water system at a nuclear reactor requires that a drain valve be opened while the fill pumps are

Lyrx [107]

Answer:

Step-by-step explanation:

drain empties 1/10 of the desired amount per minute

pump fills 1/14 of the desired amount per minute

when both are active, the net drain is 1/10-1/14 = 1/35 of the desired amount per minute

It takes 35 minutes to reach the cut-off level.

3 0

3 years ago

X increased by 10 is equal to 42

AysviL [449]

Answer:

x = 32

Step-by-step explanation:

x + 10 = 42, then you subtract 10 from both sides to get 32

6 0

3 years ago

Read 2 more answers