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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.

You might be interested in
Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
Marrrta [24]

9514 1404 393

Answer:

  $4.92

Step-by-step explanation:

The cost is found by multiplying the number of feet by the cost per foot. The number of feet is the perimeter of the dining room, the sum of the lengths of all the sides.

There are two sides of the rectangular room that are 19 feet, and two sides that are 22 feet, so the total length of trim is ...

  P = 2(L +W) = 2(22 ft + 19 ft) = 2(41 ft) = 82 ft

The cost is then ...

  cost = ($0.06/ft)(82 ft) = $4.92

It will cost Luna $4.92 to buy enough trim.

3 0
3 years ago
A rack of 15 billiard balls is shown. If one ball is selected at​ random, determine the odds against it containing a number grea
andre [41]

Using the probability and odds concepts, it is found that the odds against it containing a number greater than or equal to 7 is \frac{2}{3}.

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • An odd is the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.

In the rack, there are 15 balls, numbered from 1 to 15. Of those, <u>6 are less than 7</u>(against it containing a number greater than or equal to 7 is equivalent to it containing a number less than 7), thus:

  • There are 6 desired outcomes.
  • There are 9 non-desired outcomes.

The odd is:

\frac{6}{9} = \frac{2}{3}

The odds against it containing a number greater than or equal to 7 is \frac{2}{3}.

A similar problem is given at brainly.com/question/21094006

7 0
2 years ago
Help
pychu [463]
Use the following formula valid fo every polyhedron. 

v-e+f=2 
<span>
Search for Euler characteristic, or Euler-Poicare characteristic for more depth about this formula </span>

v= number of vertices 

e=number of edges 

f=number of faces 

<span>You get v=13

<span>I hope my answer has come to your help. Thank you for posting your question here in </span>Brainly<span>. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
</span>
3 0
3 years ago
What value of a makes the equation true?<br><br><br><br> 1.7a+0.3a=4/5<br> btw 4/5 is a fraction
andreyandreev [35.5K]
1.7a + 0.3a = 0.8;
(1.7 + 0.3)a = 0.8;
2 x a = 0.8;
a = 0.8 ÷2;
a = 0.4;
5 0
3 years ago
Alicia is a nurse.
SOVA2 [1]

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

5 0
2 years ago
Read 2 more answers
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