MATHEMATICS COLLEGE

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.A) Identify the sample size and the count.
B) Calculate the sample proportion.
C) Explain the relationship between the population proportion and the sample proportion.

Answers

Answer 1
Answer:

Answer:

Given:

n = 1003

p' = (462)/(1003) = 0.4606

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: p' = (x)/(n)

Therefore, sample proportion =

p' = (462)/(1003) = 0.4606

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606
Answer 2
Answer:

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

p=(x)/(n)=(462)/(1003)=0.46

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.46*0.54)/(1003)}\n\n\n \sigma_p=√(0.00025)=0.0157

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0157=0.031

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.46-0.031=0.429\n\nUL=p+z \cdot \sigma_p = 0.46+0.031=0.491

The 95% confidence interval for the population proportion is (0.429, 0.491).

We have 95% that the population proportion is within this interval

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How much more did female bank tellers earn than male bank tellers as a percentage of male bank teller median earnings in 1969 (to the nearest tenth of a percent)?__ %

Answers

Answer:

The additional percent that a median female bank teller earn than a median male bank teller in 1969 was 8.5% (to the nearest tenth of a percent)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Female bank tellers median earnings in 1969 = US$ 4,190

Male bank tellers median earnings in 1969 = US$ 3,860

2. How much more did female bank tellers earn than male bank tellers as a percentage of male bank teller median earnings in 1969 (to the nearest tenth of a percent)?

For answering the question we will use the following formula:

Additional percent that a median female bank teller earn than a median male bank teller in 1969 = Female bank tellers median earnings in 1969/Male bank tellers median earnings in 1969 - 1

Replacing with the real values, we have:

Additional percent that a median female bank teller earn than a median male bank teller in 1969 = 4,190/3,860 - 1

Additional percent that a median female bank teller earn than a median male bank teller in 1969 = 1.085 - 1

Additional percent that a median female bank teller earn than a median male bank teller in 1969 = 0.085 = 8.5%

The additional percent that a median female bank teller earn than a median male bank teller in 1969 was 8.5%

(a^3 / 4)^2
Simplify

Answers

Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.
I hope this helps!
-Raiden
Multiply the exponents in (a^3/4)^2 =a^3/2 simplified 

Imagine you and Janice are the only ones working as telemarketers for a large cooperation. You make 70% of the calls and each call takes you Exponential amount of time with parameter λ1 = 2 hrs-1 . Janice, on the other hand, makes the remaining 30% of total calls. Each call takes her Exponential amount of time with parameter λ2 = 4 hrs-1 . A certain call was made 30 minutes ago and it is still ongoing. What is the probability that you made this call?

Answers

Answer:

The probability that you made this call is 0.8639.

Explanation:

Parameter for you = λ1 = 2

⇒ β1 = 1 / λ1 = 1 / 2 = 0.5

Parameter for Janice = λ2 = 4

⇒ β2 = 1 / λ2 = 1 / 4 = 0.25

Probability that you made a for 0.5 hours or more:

P(X\geq 0.5)=e^(-0.5/0.5)=0.3679

Probability that Janice made a for 0.5 hours or more:

P(X\geq 0.5)=e^(-0.5/0.25)=0.1353

Overall probability that a call was made for 0.5 hours of more

= (0.7 x 0.3679) + (0.3 x 0.1353)

= 0.2981

Probability that you made the given call

= 0.7 x 0.3679 / 0.2981

= 0.8639

Which of the following constants can be added to x2 + x to form a perfect square trinomial?

Answers

Answer:

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Step-by-step explanation:

x^2+x

Take the coefficient of x

1

divide by 2

1/2

Square it

(1/2)^2 = 1/4

Add this to make a perfect square trinomial

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B. 70°
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D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME
it’s A 110

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Answers

Answer:

15cm

Step-by-step explanation:
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