A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: {H0:p=0.35Ha:p≠0.35 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Provide your answer below:

Answers

Answer 1
Answer:

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : p=0.35

Sample size : n= 500

Sample proportion : \hat{p}=(156)/(500)=0.312

Test statistic for population proportion :-

z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}\n\n\n=\frac{0.312-0.35}{\sqrt{(0.35(1-0.35))/(500)}}\n\n=-1.78146747757\ \ \text{(Simplified)}\n\n\approx-1.78

Hence, the test statistic for this hypothesis test for a proportion= -1.78


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A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening with fll ttendance, there were combined. The receipts totaled $3450. How many children attended the show?

Answers

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\n3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\n3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\n0&1&2&600\n\end{array}\right]

The new system :

C-A=150\nS+2A=600

Working with the equations :

C = 150 + A\nS = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \nC = 150\nS = 600 - 2A\nS = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

There are 250 students in the senior class at Stats High School. Some are involved in clubs and some have part-time jobs. 130 students have a part-time job (some of these students may be in a club). 110 students are involved in a club (some of these students may have a job). 100 students are NOT involved in a club and do NOT have a part-time job1. Draw a Venn diagram to illustrate the data.

Answers

Answer: ( i had a problem with this question too and i looked it up for a tutorial and i saw that some guy replied random things for points, so after i found the explanation, i came back here to give you a proper answer.)

Write 100  outside the circles to represent the students who do not have a job and are not in a club.

There are a total of 250 students, and 100 of them are not in the circles. So the remaining 150 must be included in the job and club circles.

The total number in the job subset is 130, and the total number in the club subset is 110. Together, this is 240 students, but there is only room for 150.

This means that 90 of the students are included in the intersection (both job and club).

The total number of students with jobs is 130, but 90 are already included in the intersection. Therefore, the difference of 40 students only have jobs.

The total number of students in a club is 110, but 90 have both jobs and attend a club. So the remaining 20 students must only attend a club.

Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. a. Develop the appropriate null and alternative hypotheses.

Answers

Answer:

Null hypothesis: The average sales per salesperson of Carpetland is $8000 per week

Alternate hypothesis: The average sali per salesperson of Carpetland is greater than $8000 per week

Step-by-step explanation:

The null hypothesis is a statement deduced from a population parameter which is subject to testing

The alternate hypothesis is a statement that negates the alternate hypothesis which is accepted if the null hypothesis is tested to be false

Help asap plsplspls!! :)

Answers

Answer:

1.7

Step-by-step explanation:

1 + 7/10

= 1 + 0.7

= 1.7

1.7 is the correct answer

Which graph shows the solution to the system of linear inequalities? Y< 1/3x-1 y<1/3-31) All values that satisfy y<1/3-1 are solutions
2) All values that satisfy y<1/3-3 are solutions
3) All values that satisfy either equations are solutions
4) There are no solutions
(Edge 2020)

Answers

The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a graph of inequalities, y <  1/3x-1 and y < 1/3-3

The solution of the inequality A is the shaded area below the solid blue line and the solution of the inequality B is the shaded area below the solid red line,

That means all the solutions of inequality B will satisfy the inequality A also.

Hence, The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)

For more references on inequality, click;

brainly.com/question/28823603

#SPJ5

I think the best answer would probably be 1

Which of the following shows the intersection of the sets? {1, 5, 10, 15} {1, 3, 5, 7}

Answers

Answer:

{ 1,5}

Step-by-step explanation:

The intersection is what the two sets have in common

{1, 5, 10, 15}∩ {1, 3, 5, 7}

= { 1,5}

Answer:

{1,5}

Step-by-step explanation:

The intersection of the sets are all of the numbers that appear in both sets. In this case, the only numbers that appear in both are 1 and 5.