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user100 [1]
2 years ago
12

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether t

hey are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion
Mathematics
1 answer:
Sladkaya [172]2 years ago
7 0

Answer:

One's age is not independent of one's willingness to wear masks in public.

Step-by-step explanation:

The hypothesis for the study can be defined as follows:

<em>H</em>₀: One's age is independent of one's willingness to wear masks in public.

<em>Hₐ</em>: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, <em>t</em> = 16.5.

And the critical value of the test is, <em>c</em> = 7.82.

t = 16.5 > c = 7.82

Since the  test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.

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What is the factored form of 3x + 21x-24?
anastassius [24]

Answer:

factorize form of the equation is  24(x-1)=0  , where  x=1

Step-by-step explanation:

Given Equation:

                        3x + 21x-24=0    

  Adding the terms of 'x' and taking constants on the other side.                        

                    24x-24=0

The sign of the constant will change on changing the side of it.                

                         24x=24

                           x=\frac{24}{24}

                            x=1

So, the value of  'x' is 1

The factorized form of the equation can be made by taking the common value from the equation i.e  

                      24x-24=0\\

                   24(x-1)=0

4 0
3 years ago
In x² , what is the 2 called?
alexandr402 [8]

Answer:

<h2>an exponent</h2>

Step-by-step explanation:

In x², here the 2 is exponent while x is base.

7 0
3 years ago
Read 2 more answers
Find all zeros x^3+2x^2+4x+21
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


5 0
3 years ago
What is 3.01 as a mixed number
Montano1993 [528]
3.01 as a mixed number is 3 and 1/100
It is 1/100 because the 1 is in the hundredths place
6 0
3 years ago
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An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample
Nady [450]

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

7 0
3 years ago
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