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9 months ago

Create the Subset and Proper Subset of the set A= {1,2,3,4}. Upload your work.

Mathematics

1 answer:

kozerog [31]9 months ago

7 0

The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}

<h3>How to create the Subset and Proper Subset of the set?</h3>

The set is given as:

A = {1,2,3,4}

Subsets of a set are sets that can be found in another set

An instance of this is

B = {1, 2}

Because all the elements of set B are in set A

Proper subsets of a set are sets that contain the exact elements found in another set

An instance of this is

C = {1,2,3,4}

Because set C and set A have the same elements

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2 years ago

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2 years ago

A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w

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Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A $X_a=28$

Type a size B $X_b=10$

Generally the probability of choosing cushion A P(a) is mathematically given by

$P(a)=\frac{28}{38}$

$P(a)=0.73$

Generally the equation for A to be twice as popular as B is mathematically given by

$P(b)+2P(b)=3P$

Therefore Hypothesis

$Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}$

Generally the equation normal approx of p value is mathematically given by

$z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }$

$z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }$

$z=0.75$

Therefore from distribution table

$Pvalue=1-\theta (0.75)$

$Pvalue=0.227$

Therefore there is no sufficient evidence to disagree with the Null hypothesis $H_0$

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

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2 years ago