Click the location of the point in the coordinate plane with the coordinates (

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo

BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is n = 120

The mean of the proportion is p = 0.09

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p(1-p)}{n} }$

=> $\sigma = \sqrt{\frac{0.09(1-0.09)}{120 } }$

=> $\sigma = 0.02612$

Generally the chance that fewer than 3% of households in the sample recycle their garbage is mathematically represented as

$P(X < 0.03) = P( \frac{X - p}{\sigma} < \frac{0.03 -0.09}{0.02612} )$

$P(X < 0.03) = P( Z < -2.297 )$

From the z-table

$P( Z < -2.297 ) = 0.01$

=> [tex]P(X < 0.03) = 0.01/tex]

=> [tex]P(X < 0.03) = 1\% /tex]

4 0

2 years ago

What’s the answer but you also have to simplify

Jlenok [28]

Answer:

The answer is 9x² + 3x - 2.

Step-by-step explanation:

1) Collect like terms.

$(7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)$

2) Simplify.

${9x}^{2} + 3x - 2$

Therefor, the answer is 9x² + 3x - 2.

6 0

3 years ago

A middle school principal wants to change the lunch menu at the school. The principal surveys the students to determine how the

natita [175]

Answer:

B: Survey 3 randomly selected students from every homeroom.

Step-by-step explanation:

This would be the best way to survey, because all the others have some sort of variable. The principle doesn't know who buys lunch and who doesn't, so why would he just ask kids who ride in a car as there are kids who ride buses, or only 7th grade students, so the best answer would be something that everyone has, like homeroom.

4 0

3 years ago

Read 2 more answers

Why is it important to be able to write a fraction is simplest form?

ziro4ka [17]

Being able to write fractions in simplest form can make operations much easier. Also, to compare fractions, some may have to be in the simplest form.

6 0

3 years ago

Read 2 more answers

Planet Strobe travels one full rotation around its sun in approximately 462.25 days. How many minutes does it take for Strobe to

aleksandrvk [35]

Answer-

It will take 665640 minutes for Strobe to travel one full rotation around its sun.

Solution-

Assuming all the time units i.e days and minutes are same as that of Earth, we know that a single day consists of 24 hours and each hour has 60 minutes in it.

We have been given that, Planet Strobe travels one full rotation around its sun in approximately 462.25 days.

Number of hours that is equivalent to 462.25 days is,

$462.25\times 24=11094\ hours$

As we know the relationship between hours and minutes, 11094 hours is,

$11094\times 60=665640\ hours$

Therefore,planet Strobe will take 665640 minutes to travel one full rotation around its sun.

4 0

3 years ago

Click the location of the point in the coordinate plane with the coordinates (–4, 3).