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amid [387]
3 years ago
12

the claim that 20% of americans know their credit score is tested. suppose that the sample evidence causes us to fail to reject

the null hypothesis claim that 20% of americans know their credit score. state the final conclusion in simple non technical terms
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer:

Conclusion : People ≠ 20% don't know about their credit score.

Step-by-step explanation:

Hypothesis is testing a statement for its statistical significance.

Null Hypothesis (H0)  implies 'no difference from tested value', Alternate hypothesis (H1)  implies 'significant difference from tested value'

Let % of people knowing their credit score = CS

H0 : CS = 20

H1 : CS  ≠  20

If the null hypothesis is rejected, it implies that we reject the claim that CS i.e '% of americans knowing their credit score = 20%'. So, the alternate hypothesis is accepted, i.e we conclude that '% americans knowing their credit score ≠ 20%'.

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Given n > 0, Adam conjectured that 6" Which value is a counterexample to Adam's conjecture?
miv72 [106K]

Answer:

n = 4

Step-by-step explanation:

Unit: 1.14 Unit Test: Introduction to Logic and Euclidean Geometry - Part 1

5 0
2 years ago
A saving account accrues interest at a rate of 3.0% yearly. If someone opens an account with 2,500 how much money would the acco
Valentin [98]
The future worth (F) of the current investment (P) with interest i is calculated through the equation,
                       F = P x (1 + i)^n
Substituting the known values to the given equation,
                       F + (2500) x (1 + 0.03)^5 = 2898.19
Thus, the account would have approximately 2898.19. 
4 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 225 vinyl? glov
romanna [79]

Answer:

a)

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

b)

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

c)

p-value < .00001

d)

Reject the null hypothesis.

The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of vinyl gloves that leak viruses (population 1) is greater then the population proportion of latex gloves that leak viruses (population 2).

Sample 1 (Vinyl)

n₁= 225

Sample proportion 'ρ₁= 0.60

Sample 2 (Latex)

n₂= 225

Sample proportion 'ρ₂= 0.09

Pooled proportion: 'ρ= (x₁+x₂)/(n₁+n₂)= ( 'ρ₁ + 'ρ₂)/2= (0.60 + 0.09)/2= 0.345 ≅0.35

The hypothesis is:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

α: 0.05

The statistic to use is a pooled Z

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

The critical region is one-tailed to the right (positive), the critical value is:

Z_{1-\alpha } = Z_{0.95} = 1.64

If Z ≥ 1.64, you will reject the null hypothesis.

If Z < 1.64, you will not reject the null hypothesis.

Z= \frac{(0.6 - 0.09) - (0}{\sqrt{0.35(1-0.35)[\frac{1}{225} + \frac{1}{225} ]} } = 11.34

Since the calculated Z- value is greater than the critical value, the decision is to reject the null hypothesis. The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

P-value approach:

p-value < .00001

If you compare with the level of signification, you reach the same decision.

I hope it helps!

8 0
3 years ago
Danny wants to improve his technique for punting the football, so he devises an experiment to help. He goes to the field with 5
Triss [41]

Answer should be (A)

This is because the variation factors from one day to another may significantly  influence the distances the football goes. Among these factors are: the weather and Danny's condition. For example: wind strength, wind direction, any rain influences the skid, etc. Condition example could be: Danny is more tired on one of the days and can't kick as strong.

The other choices do not relate to variability.

8 0
3 years ago
What is the length of BC in the right triangle below
AnnZ [28]
Apply the Pyth. Thm. here to find the length of this hypotenuse:

|BC} = sqrt(12^2+16^2) = sqrt(144+256) = 20 (answer)
6 0
3 years ago
Read 2 more answers
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