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zvonat [6]
3 years ago
14

Please urgent answer needed

Mathematics
1 answer:
Daniel [21]3 years ago
5 0

Answer:

8

Step-by-step explanation:

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A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co
Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

<em />

<u><em>Let p = proportion of the population who prefer fresh-brewed coffee</em></u>

So, Null Hypothesis, H_0 : p \leq 50%     {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, H_A : p > 50%     {means that the majority of people prefer the taste of fresh-brewed coffee}

The test statistics that would be used here <u>One-sample z proportion statistics;</u>

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who prefer fresh-brewed coffee = \frac{34}{50} = 0.68

            n = sample of subjects = 50

So, <u><em>test statistics</em></u>  =  \frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }  

                               =  2.73

The value of z test statistics is 2.73.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.73) = 1 - P(Z \leq 2.73)

                       = 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

<em>Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

4 0
3 years ago
Ujalakhan01! Please help me! ASAP ONLY UJALAKHAN01. What's (x-1)(x-1)?
Sauron [17]

Answer:

x^2-2x+1

Step-by-step explanation:

=> (x-1)(x-1)

<u><em>Using FOIL</em></u>

=> x^2-x-x+1

=> x^2-2x+1

3 0
3 years ago
Read 2 more answers
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
vesna_86 [32]

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

5 0
2 years ago
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work
aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

-10=(12/5)*(-5)+c, c=2

Equation of line is y=(12/5)x+2

7 0
3 years ago
Given: f(x) = 3x-7, g(x)=2x2 -3x+1, h(x)=4x+1, k(x) =-x2+3 Find: k(x) +g(x)​
Afina-wow [57]

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

<u>Alg I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

<u>Step 2: Find k(x) + g(x)</u>

  1. Substitute:                              k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
  2. Combine like terms (x²):        k(x) + g(x) = x² + 3 - 3x + 1
  3. Combine like terms (Z):         k(x) + g(x) = x² - 3x + 4
7 0
3 years ago
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