1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timofeeve [1]
3 years ago
10

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sa

les staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women. Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.
Mathematics
1 answer:
Deffense [45]3 years ago
4 0

Answer:

z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279  

p_v =P(z

And we can use the following code to find it  "=NORM.DIST(-1.279,0,1,TRUE)"

Step-by-step explanation:

Assuming this complete problem: "The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test

H0: p .45 vs H1: p < .45.

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry."

1) Data given and notation

n=50 represent the random sample taken

X=18 represent the number of women in the sample selected

\hat p=\frac{18}{50}=0.36 estimated proportion of women in the sample

p_o=0.45 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of women is less than 0.45:  

Null hypothesis:p\geq 0.45  

Alternative hypothesis:p < 0.45  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z

And we can use the following code to find it  "=NORM.DIST(-1.279,0,1,TRUE)"

You might be interested in
Select all the equations where x = 3 is a solution.
34kurt

Answer:

Step-by-step explanation:

X +4=

8x=32

7 0
3 years ago
Suppose a city with population 900,000 has been growing at a rate of ​8% per year. If this rate​ continues, find the population
shepuryov [24]

Answer:

4892886.37133

Step-by-step explanation:

4 0
3 years ago
Raju covers a certain distance in 1 hour and sham covers the same distance in 2 hours , who travels in a higher speed?
dimulka [17.4K]

Answer: Raju travels at a higher speed.

Step-by-step explanation:

Speed =\dfrac{Distance}{Time}

Speed inversely proportional to time.

As time taken to cover a particular distance decreases the speed will increase.

Raju covers a certain distance in 1 hour.

Sham covers the same distance in 2 hours.

1< 2

Thus Raju travels at a higher speed.

5 0
3 years ago
I NEED HELP ASAP!!!!! PLEASE
sasho [114]

Answer:

I think b, but I may be wrong

6 0
3 years ago
Read 2 more answers
Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.
gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

3(-4x+5)=12

3(-4x) + 3(5)=12

-12x+15=12

<u> -15</u><u>=-15</u>

-12x=-3

-x = -4

Since your x is negative change the signs

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of the figure
    5·1 answer
  • Simplify 6√125x^3y^9z^6
    13·1 answer
  • What is 1 8/9 x 3 1/4 rounded ? ASAP need help
    9·2 answers
  • 0.0090 cubic micrometers in scientific notation.
    15·1 answer
  • 50 points please give step by step instruction
    5·1 answer
  • Ali is riding his bicycle. He rides at a Speed of 12.8 kilometers per hour for 2 hours how many kilometers did he ride
    6·1 answer
  • Help please in explain
    12·2 answers
  • Which of the following statements is true of the diagram? ​
    5·2 answers
  • What is the opposite of the opposite of the opposite of 29?​
    6·1 answer
  • in kick boxing, it is found that the force needed to break a board varies inversely with the length of the board. If it takes 5
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!