Answer A B C ### Hypothesis Testing for Proportion of King County Residents Living in Seattle4. **2010 Census Analysis for King County Residents** The 2010 Census data indicated that 31% of King County residents lived within Seattle city limits. Seattle city officials are investigating if the current proportion of county residents living in Seattle exceeds the 2010 level. a. **Define Your Parameter and Hypotheses** - **Parameter Definition**: The parameter of interest is the true proportion of King County residents currently living within Seattle city limits. - **Null Hypothesis ($H_0$)**: $ p = 0.31 $, which states that the proportion of King County residents living in Seattle has not changed from the 2010 level. - **Alternative Hypothesis ($H_a$)**: $ p > 0.31 $, which indicates that the proportion of King County residents living in Seattle has increased since 2010. b. **Conditions for Hypothesis Testing** To conduct a valid hypothesis test, the following conditions must be met: - **Randomization Condition**: The sample of residents should be randomly selected. Since the problem statement mentions a random selection of 1000 King County residents, this condition is satisfied. - **10% Condition**: The sample size should be less than 10% of the population. Given that 1000 is likely less than 10% of the total King County population, this condition is also satisfied. - **Success/Failure Condition**: We check if $ np \geq 10 $ and $ n(1-p) \geq 10 $. For $ p = 0.31 $, \[ np = 1000 \times 0.31 = 310 \geq 10 \] \[ n(1-p) = 1000 \times 0.69 = 690 \geq 10 \] Hence, the Success/Failure condition is satisfied. c. **Perform Hypothesis Test and Compute the P-Value** Suppose a recent survey shows that out of a sample of 1000 King County residents, 345 live in Seattle city limits. - **Sample Proportion ($ \hat{p} $)**: \[ \hat{p} = \frac{345

a.Here the parameter is defined as: Parameter =population proportion(p)=0.31 The hypothesis to be…

4. The 2010 Census showed that 31% of King Country residents lived within Seattle city limits. Seattle city officials wondered if the proportion of county residents currently living in Seattle is higher than the 2010 level. a. Define your parameter, and write the null hypothesis, alternative hypothesis for hypothesis testing. b. Show that the necessary conditions (Randomization Condition, 10% Condition, Success/Failure Condition) are satisfied if they randomly select a sample of 1000 King County residents. Briefly explain how each condition is satisfied. c. Suppose that out of a recent sample of 1000 King County residents, 345 lived in Seattle city limits. Perform the hypothesis test and compute the P-value.

4. The 2010 Census showed that 31% of King Country residents lived within Seattle city limits. Seattle city officials wondered if the proportion of county residents currently living in Seattle is higher than the 2010 level. a. Define your parameter, and write the null hypothesis, alternative hypothesis for hypothesis testing. b. Show that the necessary conditions (Randomization Condition, 10% Condition, Success/Failure Condition) are satisfied if they randomly select a sample of 1000 King County residents. Briefly explain how each condition is satisfied. c. Suppose that out of a recent sample of 1000 King County residents, 345 lived in Seattle city limits. Perform the hypothesis test and compute the P-value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A=135 -1

Q: Allison drove home at 64 mph, but her brother Austin, who left at the same time, could drive at only…

A: Given: Allison drove home at 64 mph, but her brother Austin, who left at the same time, could drive…

Q: Coach Krahn has 8 starting players to place in his batting lineup for the kickball game. If the…

A: The coach has 8 players to place in batting lineup. As per the question the last place of lineup is…

Q: Sophie is working at a hair salon and building a tool kit. There are 8 hair dryers and 10…

Q: Kevin finds 10 shirts in his size at a clearance sale. How many different purchases could he make

A: Since the number of shirts that he needs to purchase is not mentioned, we break the answer into 10…

Q: A basketball player scored 19 times during one game. She scored a total of 27 points, two for each…

Q: Mr. Rosario uses ⅜ of a tank of gasoline each week to drive to and from his job. How many tanks of…

Q: C 15 10 D B 14 A

A: Given Data CE = 15 DE = 10AB = 14BC = ?

Q: There were 18 cookies in Magan's cookie jar. While she was busy in another room, her children ate…

Q: Chris owns a food truck and sells brisket sandwiches and plates on Saturdays. This week his sales…

A: Let's denote the number of sandwiches sold as S and the number of plates sold as P.It can set up a…

Q: Bob bought 22 chickens. Each chicken weighs 3.5 pounds. The chickens cost bob $99.33. How much did…

A: Find the solution below

Q: Lisa has 120 sweets. She gives (5)/(12) of them to her brother. How many sweets does Lisa have left?

Q: Last year Ozzie Albies had 18 hits in April, 25 in May, 35 in June, 25 in July, 31 in August, 28 in…

A: Hits in April = 18 Hits in may = 25 Hits in june = 35 Hits in july= 25 Hits in august = 31 Hits in…

Q: A wildlife biologist finds that Clinton County in Pennsylvania has 23 deer per square mile. The are…

A: Given , A wildlife biologist finds that Clinton County in Pennsylvania has 23 deer per square mile.…

Q: the girl has 5 apples she eats 2 how many apples dose she have left ?

Q: The booster Club sells 240 cheeseburgers. 1/4 of the cheese burger had pickles , 1/2 of the…

Q: Shane has 56 inches of copper wire and 63 inches of steel wire. a. What are the largest pieces he…

Q: David Ortiz with the Boston Red Sox had the following stats one year: Singles – 82, Doubles – 48,…

A: Define, s = number of singles = 82 d = number of doubles = 48 t = number of triples = 1 hr = number…

Question

Answer A B C

### Hypothesis Testing for Proportion of King County Residents Living in Seattle

4. **2010 Census Analysis for King County Residents**

The 2010 Census data indicated that 31% of King County residents lived within Seattle city limits. Seattle city officials are investigating if the current proportion of county residents living in Seattle exceeds the 2010 level.

a. **Define Your Parameter and Hypotheses**

- **Parameter Definition**: The parameter of interest is the true proportion of King County residents currently living within Seattle city limits.
- **Null Hypothesis ($H_0$)**: $ p = 0.31 $, which states that the proportion of King County residents living in Seattle has not changed from the 2010 level.
- **Alternative Hypothesis ($H_a$)**: $ p > 0.31 $, which indicates that the proportion of King County residents living in Seattle has increased since 2010.

b. **Conditions for Hypothesis Testing**

To conduct a valid hypothesis test, the following conditions must be met:

- **Randomization Condition**: The sample of residents should be randomly selected.
Since the problem statement mentions a random selection of 1000 King County residents, this condition is satisfied.
- **10% Condition**: The sample size should be less than 10% of the population.
Given that 1000 is likely less than 10% of the total King County population, this condition is also satisfied.
- **Success/Failure Condition**: We check if $ np \geq 10 $ and $ n(1-p) \geq 10 $.
For $ p = 0.31 $,
\[
np = 1000 \times 0.31 = 310 \geq 10
\]
\[
n(1-p) = 1000 \times 0.69 = 690 \geq 10
\]
Hence, the Success/Failure condition is satisfied.

c. **Perform Hypothesis Test and Compute the P-Value**

Suppose a recent survey shows that out of a sample of 1000 King County residents, 345 live in Seattle city limits.

- **Sample Proportion ($ \hat{p} $)**:
\[
\hat{p} = \frac{345

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Truth Tables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Fill out the chart with the best answers
Admission to a baseball game is $3.00$⁢3.00 for general admission and $7.00$⁢7.00 for reserved seats. The receipts were $5224.00$⁢5224.00 for 12801280 paid admissions. How many of each ticket were sold?
Joe worked 9 hours and packed 21 cartons. Bob worked 5 hours and packed 11 cartons. Who packed the most cartons per hour? Bob packed the most cartons per hour Joe packed the most cartons per hour
In September, Ms. McLane sold 43 sets of encyclopedias. This was three more than five times the number of sets that Perrin sold. How many sets of encyclopedias did Perrin sell? А 6 В 8 C 10 D 15
What is the solution for: mP6
The population density of Themville is 17.5 Thems per acre. Exactly 840 Thems live in Themville. How many acres is Themville? O 1470 acres 48 acres O 14700 acres O 480 acres
The owner of a candy store wants to mix some peanuts worth $1 per pound, some cashews worth $9 per pound, and some Brazil nuts worth $10 per pound to get 50 pounds of a mixture that will sell for $6.20 per pound. She uses 10 fewer pounds of cashews than peanuts. How many pounds of each did she use? O Ib peanuts Ib cashews Ib Brazil nuts
jim has 10 apples. give Ted 3 how much apples does he have left?