What is 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
icon
Related questions
Question
100%

What is the p value ?

According to a census company, 7.1% of all babies bom are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years
give birth to a higher percentage of low-birth-weight babies. She randomly selected 280 births for which the mother was 35 to 39 years old and found 30
low-birth-weight babies. Complete parts (a) through (c) below.
mothers. What is the expected number of births to mothers 35 to 39 years old that are not low birth weight?
The expected number of low-birth-weight births to 35- to 39-year-old mothers is 19.88
The expected number of births to mothers 35 to 39 years old that are not low birth weight is 260.12
(Type integers or decimals.)
(b) Answer the obstetrician's question at the a= 0.05 level of significance using the chi-square goodness-of-fit test. State the null and alternative hypotheses for this
test.
Ho: p
Но
= 0.071
H1 P
> 0.071
Use technology to compute the P-value for this test. Use the Tech Help button for further assistance.
P-value =
(Round to three decimal places as needed.)
%3D
Transcribed Image Text:According to a census company, 7.1% of all babies bom are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 280 births for which the mother was 35 to 39 years old and found 30 low-birth-weight babies. Complete parts (a) through (c) below. mothers. What is the expected number of births to mothers 35 to 39 years old that are not low birth weight? The expected number of low-birth-weight births to 35- to 39-year-old mothers is 19.88 The expected number of births to mothers 35 to 39 years old that are not low birth weight is 260.12 (Type integers or decimals.) (b) Answer the obstetrician's question at the a= 0.05 level of significance using the chi-square goodness-of-fit test. State the null and alternative hypotheses for this test. Ho: p Но = 0.071 H1 P > 0.071 Use technology to compute the P-value for this test. Use the Tech Help button for further assistance. P-value = (Round to three decimal places as needed.) %3D
Expert Solution
Step 1

Note: As per the requirement solving 

From the available information,

The observed frequency for the number of low birth weight births a 35 to 39 year old mother is, 30.

The total number of births is given as 280.

The observed frequency for the number of births to mothers 35 to 39 year old that are not low birth mother is, 

(The total number of births) - (the number of low birth weight births a 35 to 39 year old mother is)

= 280-30

= 250

Given that , the proportion of babies with low birth weight is,

p = 7.1%= 7.1/100=0.071

The expected frequency for the number of low birth weight births a 35 to 39 year old mother is,

n*p = 280*(0.071)= 19.88

The expected frequency for the number of births to mothers 35 to 39 year old that are not low birth mother is, 

n*(1-p)=280*(1-0.071)

            =280*(0.929)

            =260.12

Observed frequency (O)

Expected frequency

(E)

(O-E) (O-E)^2 (O-E)^2/E 
30 19.88 10.12 102.4144 5.15163
250 260.12 -10.12 102.4144 0.39372
Sum:280       5.54535

From the table,

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
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.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman