A sample survey funded by the national science foundation

Assignment Help Applied Statistics
Reference no: EM13695788

A sample survey funded by the National Science Foundation asked a random sample of American adults about biological evolution. One question asked survey participants to answer "True", "False" or "Not sure" to the statement "Human beings, as we know them today, developed from earlier species of animals." Of the 384 respondents, 165 said "True". Is there sufficient evidence to conclude that fewer than half of American adults think that humans developed from earlier species of animals? Use a 5% level of significance.


Part A. Test of Significance

STATE:
At the α = 0.05 level, is there sufficient evidence to conclude that fewer than half of American adults think that humans developed from earlier species of animals? (Write this verbatim on your paper.)

Answer all of the following questions in complete sentences when applicable.


PLAN:
(1) State the name of the appropriate test procedure you will use (e.g., one-sample t test for means). (1 pt)

(2) Describe the parameter of interest in the context of the problem. (1 pt)

(3) State the null and alternative hypotheses. (2 pts)

(4) Write down the significance level. (1 pt.)
SOLVE:

(5) List and check the conditions for the test procedure you named above. (4 pts)

(6) Obtain the value of the sample proportion. (1 pt)

(7) Write the calculated test statistic (including your calculations) and its associated P-value using the appropriate table, not from statistical software. (2 pts)

CONCLUDE:
(8) Answer the question posed in the STATE step in context. Do this by including these three parts in your conclusion (3 pts):

  • Compare P-value with α
  • Decide whether to reject or fail to reject the null hypothesis
  • State your conclusion in context



Part B. Confidence Interval Estimation

STATE:
What is a 90% confidence interval estimate for the proportion of all American adults who think that humans developed from earlier species of animals? (Please write this verbatim on your paper)

PLAN:
(1) State the name of the appropriate estimation procedure (e.g. one-sample t confidence interval for estimating the mean difference). (1 pt)

(Note) You have already described the parameter being estimated in part A, so you don't have to repeat it here.

SOLVE:
(1) You have already listed the conditions, now check the condition for the normality of the sampling distribution of p-hat for confidence interval estimation. (1 pt.)


(2) Write down the confidence level and the z* critical value. (2 pts.)


(3) Calculate the confidence interval in interval form. Be sure to show your work. (2 pts)


CONCLUDE:
(4) Interpret your confidence interval in context. Do this by including these three parts in your conclusion (3 pts):

  • Level of confidence
  • Parameter of interest in context

• The interval estimate

Reference no: EM13695788

Questions Cloud

Piperazine hexahydrate is dissolved in enough water : Question- A 1.00-g sample of piperazine hexahydrate is dissolved in enough water to produce 100.0 mL of solution and is titrated with 0.500 M HCl.
What are the contents of the array : What are the contents of the array after the subsequent loops complete - loops and also provide the iteration how to get it.
Irradiation of food to reduce bacteria and preserve the food : In recent years the irradiation of food to reduce bacteria and preserve the food longer has become more common. A company that performs this service has developed four di erent methods of irradiating food. To determine which is best, it conducts a..
Write a script that inputs a numeric check amount : Write a script that inputs a dollar amount to be printed on a check, then prints the amount in check protected format with leading asterisks if necessary. Assume that nine spaces are available for printing the amount.
A sample survey funded by the national science foundation : A sample survey funded by the National Science Foundation asked a random sample of American adults about biological evolution. One question asked survey participants to answer "True", "False" or "Not sure" to the statement "Human beings, as we ..
Calculate the initial ph : Question- Calculate the pH of 0.480L of a 0.185M NH4Cl - 0.185MNH3 buffer before and after the addition of the following substances. Assume that the volume remains constant. Part 1- Calculate the initial pH.
Survey to determine child care costs for working parents : In a survey to determine child care costs for working parents, the local Chamber of Commerce randomly samples licensed child care centers in four regions of the metropolitan area. The purpose of the survey is to see whether and how average child c..
Create a visual basic application : Create a visual Basic application that asks the user for two different numbers through text boxes - Then compare the numbers to see which one is higher once they push a button.
What length should the column be if the theoretical plate : The elution time for species A (tA) was 200 s with a peak width (wA) of 35 s and the elution time for species B (tB) was 332 s with a peak width (wB) of 55 s. What length (in centimeters) should the column be if the theoretical plate height for sp..

Reviews

Write a Review

Applied Statistics Questions & Answers

  Way around b&w plots

Way around B&W plots

  Should the cbc hire celebrities for movies

Use data from all networks, not just CBC movies and how well does this regression analysis explain the ratings?

  A dean of college of business in the midwest claims

A dean of college of business in the Midwest claims

  What is the critical path and project completion time

What is the critical path and project completion time for the budgeting process and what is the cost to complete the project based on the Normal Times?

  Formal hypothesis test

Your write-up of this experiment should include your work to determine the n, your methodology, your record of the experiment, your confidence interval, your interpretation of the confidence interval, your formal hypothesis test and your comments ..

  1 an art professor was interested in seeing what size group

1. an art professor was interested in seeing what size group is best to prime the pump so to speak to encourage

  Regression of the rate of inflation

Using the data on the growth rate of Money and inflation, run a regression of the rate of inflation on the rate of growth of the money supply

  A bell-shaped distribution with a mean of 30 and a standard

A professor recently gave a quiz in their class and the quiz scores have a bell-shaped distribution with a mean of 30 and a standard deviation of 5.

  The number of completed entries made per hour

The number of completed entries made per hour

  Analyze the processed data in statistical survey

Analyze the processed data in Statistical survey.

  Expected value is within one standard deviation

The expected value is within one standard deviation of themean(so you must calculate both the standard deviation and expected value for your game).

  Analysis of biostatistical article

Discuss the level of measurement, assumptions that can be made, statistics that can be calculated from these data, and the general quality of the data

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd