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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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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
lorasvet [3.4K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 2.35

x2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.82

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.075

Alpha = 5% = 0.05

Since alpha, 0.05 < than the p value, 0.075, then we would fail to reject the null hypothesis.

4 0
3 years ago
When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
Orlov [11]

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is 100\%-20\%-20\%=60\% of the total distance from home to school.

1200=\dfrac{60}{100}x

1200=0.6x

\dfrac{1200}{0.6}=x

2000=x

Therefore, the distance from home to school is 2000  metres.

7 0
3 years ago
Twice the difference of a number and
Cerrena [4.2K]
2(w-8) = 9. Hope it helps!
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3 years ago
Please help me with this problem :)
8_murik_8 [283]

Answer:

d.

Step-by-step explanation:

The red graph is the black one times 2.

So y = 2 f(x). which is the same as y/2 = f(x) (divide by 2).

7 0
3 years ago
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Please explain this step by step.<br><br> 5+4(n+9)=-3
Blababa [14]

Answer:

n = -11

Step-by-step explanation:

5 + 4(n + 9) = -3,

5 + 4n + 36 = -3,

41 + 4n = -3,

4n = -44,

n = -11

8 0
3 years ago
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