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Rom4ik [11]
2 years ago
5

According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A

researcher believes the proportion of Americans over 65 using the Internet has changed since then. Determine the null and alternative hypotheses. Label which one is the claim. You must write the correct parameter, inequality/equality symbol and value to receive full credit.
Mathematics
1 answer:
Dvinal [7]2 years ago
4 0

Answer:

H0 : μ = 0.107

H1 : μ ≠ 0.107

Step-by-step explanation:

The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.

The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.

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7 0
3 years ago
in a class of 40 students, 24 are over the age of 21 and 16 are 21 or younger. Biff is over the age of 21. A student is selected
LenKa [72]

Answer:

3. 60% probability the student is over the age of 21.4

4. 4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. 0% probability Biff was selected if you know the student selected was 21 or younger

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

In this question:

40 students

24 over the age of 21.

16 are 21 or younger.

3. Find the probability the student is over the age of 21.

24 of the 40 students are over the age of 21.

24/40 = 0.6

60% probability the student is over the age of 21.4

4. Find the probability Biff was selected if you know the student selected was over the age of 21.

24 students over the age of 21, one of which is Biff.

1/24 = 0.0417

4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. Find the probability Biff was selected if you know the student selected was 21 or younger

Biff is not 21 or younger, he is over 21, so there are no desired outcomes.

So, 0% probability Biff was selected if you know the student selected was 21 or younger

8 0
3 years ago
The cost in dollars (in dollars) of making x flip flops is represented by 40+4x. The cost (in dollars) of making x sandals is re
Anastasy [175]

Answer:

a. C = 12x + 110; b. $290

Step-by-step explanation:

a. The polynomial

 Let L = cost of flip-flops

and S = cost of sandals

Then

C =      L      +      S

  = 40 + 4x + 70 + 8x

  = 12x + 110

b. The cost

C = 12 × 15 + 110

  = 180 + 110

  = $290

The cost of making 15 flip-flops and 15 sandals is $290.

6 0
3 years ago
An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
What is the value of h in the figure below? In this diagram, /\BAD ~ /\CBD.
dusya [7]

Answer:

12

Step-by-step explanation:

(25-16) / h = h / 16

9/h = h/16

=144 ( 9 x 16)

h₂ = 144

h= square root 144

h= 12

3 0
3 years ago
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