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Leno4ka [110]
3 years ago
7

A medical researcher compares a new treatment for poison ivy against a traditional ointment. He finds that the new treatment sig

nificantly reduces itching, with a p-value of 0.047. What does the p-value mean in this context?
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

0.047 is the probability that new treatment significantly reduces itching provided the null hypothesis is true.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

New treatment for poison ivy against a traditional ointment.

P-value = 0.047

P-value:

  • The p-value is the probability of obtaining observed results of a test, provided that the null hypothesis is true.
  • It is the level of marginal significance for the probability of the happening of a given event.

Interpretation:

Thus, 0.047 is the probability that new treatment significantly reduces itching provided the null hypothesis is true that is the new treatment and the traditional ointment have the same effect.

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EMERGENCY!!! OK SO I need help on 4 questions! Lots of points for this :) Also please make sure it's correct cause this is for a
Shalnov [3]

                               <em><u>Question # 1 Solution</u></em>

<em>Answer:</em>

32≤x≤48 is the best estimate for the amount of money, x, that Erika has to pay to get to her destination. Hence, option D is correct.

<em>Step-by-step Explanation:</em>

<em>Information Fetching and Solution Steps</em>

  • Erika estimates that she is 200 to 300 miles away from her destination
  • Car travels 25 miles per gallon of gas
  • Cost of each gallon being $4.00

As Erika estimates that she is 200 to 300 miles away from her destination, and car travels 25 miles per gallon of gas. So,

  • First dividing 200 by 25 to get the number of gallons a car needed to make 200 miles

        i.e 200/25 = 8 gallons.

        As cost of each gallon being $4.00.

        So, 8 × 4 = 32$ is the amount she needed to make 200 miles.

  • Then dividing 300 by 25 to get the number of gallons a car needed to make 300 miles

        i.e 300/25 = 12 gallons.

        As cost of each gallon being $4.00.

        So, 12 × 4 = 48$ is the amount she needed to make 300 miles.

From the above calculation, we observe that 32$ and 48$ is the best estimate between 200 miles and 300 miles.

Therefore, 32≤x≤48 is the best estimate for the amount of money, x, that Erika has to pay to get to her destination. Hence, <em>option D</em> is correct.

<em><u /></em>

<em>                                    </em><u><em>Question # 2 Solution</em></u>

<em>Answer:</em>

<em>Consultant B</em> offers the <em>cheapest price</em> for a <em>five hour session.</em>

Hence, <em>B. Consultant B</em> is the correct option.

<em>Step-by-step Explanation:</em>

<em>Analyzing the offer price of Consultant A, B and C for a Five hour session:</em>

<em />

  • Consultant A chargers $160 for the first hour
  • $75 per hour after the first.

So, for five hour session, Consultant A is offering the price:

$160 + $75 + $75 + $75 + $75 = $460

<em />

  • Consultant B chargers a flat rate of $90 per hour

So, for five hour session, Consultant B is offering the price:

$90 + $90 + $90 + $90 + $90 = 450 US$

<em />

  • Consultant C chargers $140 for the first hour
  • $80 per hour after the first.

So, for five hour session, Consultant C is offering the price:

$140 + $80 + $80 + $80 + $80 = $460

<em>Comparing the price offers of Consultant A, B and C</em>

So, by comparing the price offers of Consultant A, B and C, we determine that:

  • Consultant A is offering the price $460 for five hour session.
  • Consultant B is offering the price $450 for five hour session.
  • Consultant C is offering the price $460 for five hour session.

So, from this comparison, we conclude that <em>Consultant B</em> offers the <em>cheapest price</em> for a <em>five hour session.</em>

Hence, <em>B. Consultant B</em> is the correct option.

<em>                               </em>

<em>                              Question # 3 Solution</em>

<em>Answer:</em>

<em>They spent </em><em>4 nights</em><em> at the hotel. Hence, </em><em>option B</em><em> is correct.</em><em> </em>

<em>Step-by-step Explanation:</em>

<em>To determine: </em>

how many nights did they stay at the hotel?

<em>Information Fetching and Solution Steps</em>

  • A hotel chargers $225 per night to rent a suite.
  • The hotel also charges $75 per day for full room service.
  • Jessica and Ashely purchased full room service for every night.
  • They stayed at the hotel and spent a total of $1,200

As the total amount they spent = $1,200

As $75 is the service charges as Jessica and Ashely purchased full room service for every night.

Per night charges = hotel chargers + service charges

Per night charges = $225 + $75 ⇒ $300

So, total nights will be calculated as:

Total nights = total amount they spent ÷ Per night charges

Total nights = $1,200 ÷ $300 ⇒ 4 nights

<em>Therefore, they spent </em><em>4 nights</em><em> at the hotel. Hence, </em><em>option B</em><em> is correct.</em><em> </em>

<em />

<em>                                  Question # 4 Solution</em>

<em>Answer:</em>

Hence, |h − 57.5| ≤ 7.5 is the absolute values which best represents this restriction, where ( h ) represents height. Hence, <em>option A</em><em> is correct.</em><em> </em>

<em>Information Fetching and Solution Steps</em>

  • A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall.

Let us take the equation of following absolute value:

|h − 57.5| ≤ 7.5

We know h − 57.5 ≤ and h − 57.5 ≥ −50

h − 57.5 ≤ 7.5         (Condition 1)

h − 57.5 + 57.5 ≤ 7.5 + 57.5      (Add 57.5 to both sides)

h ≤ 65

h − 57.5 ≥ −7.5         (Condition 2)

h − 57.5 + 57.5 ≥ −7.5 + 57.5     (Add 57.5 to both sides)

h ≥ 50

So, h ≤ 65 and h ≥ 50

Solution Graph is also attached as shown in attached figure a.

Hence, |h − 57.5| ≤ 7.5 is the absolute values which best represents this restriction, where ( h ) represents height. Hence, <em>option A</em><em> is correct.</em>

<em>Using same methodology we observe that all other options B, C, and D brings </em><em>wrong values </em><em>which is as follows:</em>

  • <em>|h+7.5|≤65 brings h≤57.5 and h≥−72.5</em>
  • <em>|h+50|≤65 brings h≤15 and h≥−115</em>
  • <em>|h+65|≤50 brings h≤−15 and h≥−115</em>

Hence, from all discussion, we conclude that |h − 57.5| ≤ 7.5 is the absolute values which best represents this restriction, where ( h ) represents height, as it brings h ≤ 65 and h ≥ 50. Hence, <em>option A</em><em> is correct.</em>

Keywords: inequality, graph solution, absolute value

Learn more about inequality from brainly.com/question/11315582

Learn more about absolute value from brainly.com/question/2155076

#learnwithBrainly

4 0
4 years ago
Laura has a backyard that she wants to renovate. Her
miskamm [114]

Answer:

Area of the walkway = 8<em>x </em>+ 24

Step-by-step explanation:

Area of the total backyard = l\times b

Area of total backyard = (x+6)\times (x+4) = x^{2} +10x + 24

Now, Area of the rectangular garden = l\times b

Area of the rectangular garden = x (x+2) = x^{2} + 2x

Now area of the walkway poured with concrete = Area of the backyard - Area of the rectangular garden

= (x^{2} +10x +24) - (x^{2} +2x)

= x^{2} + 10x +24 - x^{2} -2x

= 8<em>x</em> + 24  

 

4 0
3 years ago
What is the quotient of 83.2 /13
elena-14-01-66 [18.8K]

Answer:6.4

Step-by-step explanation: need to divide

6 0
3 years ago
The large rectangle below represents one whole. What percent is represented by the shaded area?
pantera1 [17]

Answer: 44%

Step-by-step explanation:

11/25= 0.44= 44%

3 0
3 years ago
Read 2 more answers
RATHER THAN USE DECIMALS-convert it to cents..
stepan [7]

Answer:

<h2>there are 22 dimes</h2><h2>there are 44 nickles</h2><h2 />

Step-by-step explanation:

D be dimes and N be nickles

2 nickles as dime

nickle = 5 cents and dime =10 cents

N=2D

0.10 D + 0.05 (N)=4.4 substitute N=2D

0.10 D +0.05(2D)=4.4

0.10D+0.10D=4.4

0.20 D=4.4

D=4.4/0.2 = 22

<h2>there are 22 dimes</h2>

N=2D

N=2(22)

N=44

<h2>there are 44 nickles</h2>

check : 0.10(22)+0.05(44)= 4.4 (correct)

5 0
3 years ago
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