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Luden [163]
3 years ago
9

a popular weekly magazine asserts that fewer than 40% of households in the united states have changed their lifestyles because o

f escalating gas prices. a recent survey of 180 households finds that 67 households have made lifestyle changes due to escalating gas prices.the standard error of p(bar) is:the value of the test statistic is:the pvalue is:at a=0.10 and using the p-valuein light of your conclusion, what test error may happen?
Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer: The null hypothesis is not rejected.

Step-by-step explanation:

Since we have given that

n = 180

x = 67

So, \hat{p}=\dfrac{x}{n}=\dfrac{67}{180}=0.372

Hypothesis :

H_0:\hat{p}\geq 0.4\\\\H_1:\hat{p}

So, test statistic value would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.372-0.4}{\sqrt{\dfrac{0.4\times 0.6}{180}}}\\\\z=\dfrac{-0.027}{0.03645}\\\\z=-0.741

At 0.01 level of significance, z = -1.28

So, -1.28<-0.741

So, we will not reject the null hypothesis as p - value = 0.2234.

Hence, the null hypothesis is not rejected.

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Please answer and explain (algebra II problem): <br> -3/2x - 1/2y = 8<br> What is the slope?
elixir [45]

Answer:

<em>slope= -3</em>

Step-by-step explanation:

firstly calculating the values of x and y for slopes.

-3/2x - 1/2y = 8

(-3x-y)= 8×2

-(3x+y) = 16

3x+y = -16

if x= -2

-6 + y = -16

y=-10

.: (x₁,y₁)=(-2,-10)

if x= -5

-15 + y = -16

y = -1

.: (x₂,y₂)=(-5,-1)

Using slope formula,

slope= (y₂-y₁)/(x₂-x₁)

slope = [-1-(-10)] / [-5-(-2)]

slope= [-1+10]/[-5+2]

slope= 9/(-3)

slope= -3

7 0
4 years ago
The next model of a sports car will cost 6.6% more than the current model. The current model costs $48,000. How much will the pr
KonstantinChe [14]

Answer:

It's the percent word problem...

So, first you need to find how much will the price increase:

1)6.6% of 48,000$=6.6÷100=0.066×48,000=3168$

3168$- is the price that will increase.

2)48,000+3168=51,168 $- the next price

Answer: the price of the next model will be 51,168 $.

Good luck!

Intelligent Muslim,

From Uzbekistan.

8 0
3 years ago
4x + 5 = -15 they want me to put more letters but I need help with the math
Jet001 [13]

Answer:

x=−5

Step-by-step explanation:

<3

5 0
3 years ago
Find the slope of the line through each pair of points (-14,16) (9,16)
Marysya12 [62]

Answer:

0

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

       = (16-16)/(9--14)

    = (16-16)/(9+14)

     =0/23

The slope is zero which means this is a vertical line.  The y value does not change

5 0
4 years ago
Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!
Neko [114]

Answer:

I think It is 8 as well, but not sure

Step-by-step explanation:

4 0
3 years ago
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