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KIM [24]
3 years ago
8

A newsletter publisher believes that above 41A% of their readers own a personal computer. Is there sufficient evidence at the 0.

100.10 level to substantiate the publisher's claim?
Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

Complete Question

A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?

State the null and alternative hypotheses for the above scenario.

Answer:

The null hypothesis is  H_o :  p \le  0.41

The  alternative hypothesis  H_1  :  p> 0.41

Step-by-step explanation:

From the question we are told that

      The population proportion is p  =  0.41

        The level of significance is  \alpha  = 0.10

The null hypothesis is  H_o :  p \le  0.41

The  alternative hypothesis  H_1  :  p> 0.41

         

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The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true
Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478

<u>Part B</u>

P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

<u>Part C</u>

\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971

6 0
3 years ago
What 2+2 x10+2X2+10=
erastova [34]

Answer:

36

Step-by-step explanation:

Use PEMDAS:

2*10 is 20

2*2 is 4

So the equation is now

2+20+4+10=

Now add:

36

Thus the solution is 36

Hope this helps!

4 0
3 years ago
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Find the slope of the line that contains the points (6,8) and (2,1)
solong [7]
The slope of the line is 7/4
5 0
3 years ago
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What is the diameter of a circle with a circumference of 66? Round to the nearest tenth.
Stella [2.4K]
I think the answer is 21 (I don’t know the units)
5 0
3 years ago
What is the inverse of f(x)=8x+14/2x+6?
alisha [4.7K]

Answer:

(x-6)/15

Your notation is a little ambiguous though, do you mean (14/2)x or 14/(2x)?

Step-by-step explanation:

A function has one output for every input in the domain. The inverse function of a function takes every pair of input-output and flips the roles. So, (assuming function is one-to-one) if f(3) = 2, f^-1(2) = 3.

Ok, so we can apply that here. If, when x is inputted to the function, f(x) is returned, then in the inverse function, when f(x) is inputted, x should be returned.

That means that we can switch f(x) with x in the equation and f(x) with f^-1(x) and solve for f^-1(x).

x = 8f^-1(x) + 7f^-1(x) + 6

x-6 = 15f^-1(x)

(x-6)/15 = f^-1(x)

6 0
3 years ago
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