The function fx) is graphed below.

397 of 514 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected r

Afina-wow [57]

Answer:

z=14.73

p=0.000

for 99% confidence level the null hypothesis is rejected, thus majority of us adults would not bothered if the NSA collected personal records.

Step-by-step explanation:

$H_{0}$ : Half of US adults would not bothered if the NSA collect records of personal telephone calls

$H_{A}$ : Majority of the adults would not bothered if the NSA collect records of personal telephone calls

According to the sample, z-value can be found using the formula:

z= $\frac{X-M}{\sqrt{n*p*(1-p)} }$ where

X is the adults, who would not be bothered in the survey (397)
M is the mean of the distribution of null hypothesis (257)
n is the sample size (514)
p is the proportion of the sample, who said they would not bothered ( $\frac{397}{514}$ ≈ 0.77)

Putting these numbers in the formula,

z=14.73 and corresponding p value is p≈0.000

Since p<0.01, for 99% confidence level we reject the null hypothesis, thus majority of us adults would not bothered if the NSA collected personal records.

8 0

3 years ago

What does proportion mean in algebra when dealing with graphs

andrey2020 [161]

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc

3 0

3 years ago

Convert 65 mph to feet per minute

Setler [38]

Hi
5720 feet / minute

Here ulyou go mate

7 0

3 years ago

Read 2 more answers

1. Value-Mart is advertising a Back-to-School sale on pencils. A pack of 24 sells

andrey2020 [161]

Answer:

24 because you get more pencils to use in case one breaks.

7 0

3 years ago

Read 2 more answers

Worth 17 points! Help me please!!! Look in the picture

ivanzaharov [21]

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

3 0

3 years ago