Question
Asked Nov 12, 2019
100 views

Suppose 47% of the population has a college degree.

If a random sample of size 501 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 6%? Round your answer to four decimal places.

check_circle

Expert Answer

Step 1

It is provided that

p = 0.47, q = 1- p = 1-0.47 = 0.53 and n = 501

Consider, the sampling distribution of sample proportion follows the normal distribution, that is,

help_outline

Image Transcriptionclose

-N(4,.0) Mean (u) p 0.47 |рxа Standard deviation(o,) п 0.47 x0.53 501 =0.0223

fullscreen
Step 2

Thus,

help_outline

Image Transcriptionclose

p-N(0.47,0.0223)

fullscreen
Step 3

Now, the required probabilit...

help_outline

Image Transcriptionclose

P(-pk0.06)- P( p-0.47|< 0.06) =P(0.41< <0.53) 0.41-0.47 p- 4, 0.53- 0.47 = P 0.0223 0.0223 P(-2.6906 <z < 2.6906) P(z < 2.6906)- P(z<-2.6906) 0.9964-(10.9964) (From standard normal table) =0.9928

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Assume that a procedure yields a binomial distribution with n=58n=58 trials and the probability of s...

A: It is given that the random variable follows a binomial distribution with n=58 and p=0.23.The mean o...

question_answer

Q: A researcher reports an F-ratio with dfbetween = 2 and dfwithin = 30 for an independent-measures ANO...

A: According to the provided information, the researcher reports an F-ratio with degree of freedom betw...

question_answer

Q: The critical value of t for a 95% confidence interval with df equals 108

A: Given:

question_answer

Q: Question h)

A: (h)Explanation:From the dot plots, it is observed that the points are more spread for Quillayute whe...

question_answer

Q: How do find the answer on paper and the TI84

A: Computation of regression line equation:Step-by-step procedure to find the regression line equation ...

question_answer

Q: using the z table (table e), find the critical value (or values) for each. a. alpha=0.10, two tailed...

A: a)It is given that level of significance is 0.10 and the test is two tailed.Here,

question_answer

Q: A quick quiz consists of a multiple-choice question with 5 possible answers followed by a true/false...

A: Given dataMultiple choice questions with 5 possible answers followed by a true and false5 possible a...

question_answer

Q: Use the p value method and fill in the blanks to address the claim:  A supplier of digital memory ca...

A: Solution: We are given that a supplier of digital memory cards claims that less than 1% of the cards...

question_answer

Q: 6. (Circle the correct response) The dependent variable of interest in an ANOVA process is called a ...

A: Note:Thank you for the question. Since you have posted more than 1 question, according to our policy...