Find the measure of angle x

According to the National lnstitute on Alcohol Abuse and Alcoholism, 41% of college students nationwide engage in "binge drinkin

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Null hypothesis: National proportion P ≥ sample proportion

Alternative hypothesis: National proportion P < sample proportion

Collect the Data.

Sample size n = 348, population proportion P = 0.41,

a. What is the sample proportion? Use 4 decimal places.

Sample proportion p = 132/348 = 0.3793

b. What is the standard deviation for this problem?

The standard deviation can be calculated using this formula:

√[(p x (1-p)) / n] = √[(0.3793 x (1 - 0.3793) / 348

= √[(0.3793 x 0.6203) / 348]

= √(0.2354 / 348)

= √0.0006765

SD = 0.026

c. The conditions are met:

The sampling method is simple random sampling: Yes

Each sample point can result in just two possible outcomes: a success; have engaged in binge drinking and a failure: have not engaged in binge drinking

The sample includes at least 216 failures and 132 successes

The population size is at least 20 times as big as the sample size: college students nationwide are even 20 times more than 348.

d) What is the test statistic?

z = (p - P) / σ

z = (0.3793 - 0.41) / 0.026

z = (-0.0307 / 0.026)

z = -1.18

At a 5% level of significance, where α= 0.05, p value for -1.18 for a one tailed test using the p value calculator is 0.119, the result is not significant at p < .05 thus, concluding that we fail to reject the null as there is not enough evidence to conclude students enrolled at this college that binge drink is lower than the national proportion of students that binge drink

3 0

3 years ago

Two 2 1/2 inch plastic strips and two 5 1/3 plastic strips are used to form a rectanlge. What is the perimeter of the rectangle?

malfutka [58]

We have been given that two 2 1/2 inch plastic strips and two 5 1/3 plastic strips are used to form a rectangle.

Let us find the length of the plastic strips.

Two 2 1/2 inch

= $2 \times 2\frac{1}{2}\\=2 \times\frac{5}{2} \\ \\=5 \text{ inches}$

Two 5 1/3 inch

$= 2 \times 5\frac{1}{3}\\=2 \times\frac{16}{3} \\ \\=\frac{32}{3} \text{ inches}$

Therefore, the perimeter of the rectangle is given by

$5+ \frac{32}{3}\\ =\frac{47}{3} \\ \\= 15.7\text{ inches}$

The perimeter of the rectangle is 15.7 inches.

5 0

3 years ago

Need help with this I'm on a time limit

OverLord2011 [107]

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-Brainly support team (Klara academic DEPT.)Spam words mean team is having trouble determining the question CONTACT For support. Thanks for using brainly.

7 0

3 years ago

Find the sum of the geometric sequence -3,15,-75,375,... when there are 8 terms

balu736 [363]

Answer: The sum is 195,312

Step-by-step explanaton:

The n-th term in a geometric sequence can be written as:

An = A1*r^(n-1)

Here we have:

A1 = A1*r^(1-1) = A1 = -3

A2 = A1*r^(2-1) = -3*r = 15

r = 15/-3 = -5

A3 = A1*r^(3-1) = -3*-5^2 = -3*25 = -75

So we can conclude that the sequence is:

An = -3*(-5)^(n-1)

We want to obtain the sum of the first 8 terms.

The sum of N terms in a geometric series is:

S = A1*(r^N - 1)/(r - 1)

So we have:

S = -3*(-5^8 - 1)/(-5 - 1) = (-3/-6)*(-5^8 - 1) = 195,312

6 0

3 years ago

A rectangular prism has a top face with an area of 20 ft² and a height of 5 ft. What is the volume of this rectangular prism?

Troyanec [42]

Answer:

$100\text{ ft}^3$

Step-by-step explanation:

We have been given that a rectangular prism has a top face with an area of 20 ft² and a height of 5 ft.

We know that volume of rectangular prism will be area of base or top face times height of the prism.

$\text{Volume of rectangular prism}=20\text{ ft}^2\times 5\text{ ft}$

$\text{Volume of rectangular prism}=100\text{ ft}^3$

Therefore, the volume of the rectangular prism would be 100 cubic feet.

6 0

3 years ago