It was determined that the percentage of t's in the English language in the 1800s was 6%. A random sample of 500 letters from a current newspaper contained 24 t's. Test the hypothesis that the proportion of t's has changed in modern times, using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used. O E. Ho: p*0.06 H p=0.06 Determine the z-test statistic. z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round three decimal places as needed.) Choose the correct conclusion. O A. Do not reject Ho. The proportion of t's is not significantly different from 0.06. O B. Reject Ho. The proportion of t's is not significantly different from 0.06. Oc. Do not reject Ho. The proportion of t's is significantly different from 0.06. O D. Reject Ho The proportion of t's is significantly different from 0.06.

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

It was determined that the percentage of​ t's in the English language in the 1800s was ​6%. A random sample of 500 letters from a current newspaper contained ​24 t's. Test the hypothesis that the proportion of​ t's has changed in modern​ times, using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used.

1. Determine the​ z-test statistic.

z = ____ (Round to two decimal places as​ needed.)

2. Find the p-value = _____ (Round to three decimal places as​needed.)

3. Chose the correct conclusion

It was determined that the percentage of t's in the English language in the 1800s was 6%. A random sample of 500 letters from a current newspaper contained 24 t's. Test the hypothesis that the proportion of t's has changed in modern times,
using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used.
(...
O E. Ho: p+0.06
Ha: p= 0.06
Determine the z-test statistic.
(Round to two decimal places as needed.)
Find the p-value.
p-value =
(Round to three decimal places as needed.)
Choose the correct conclusion.
O A. Do not reject Ho. The proportion of t's is not significantly different from 0.06.
O B. Reject Ho - The proportion of t's is not significantly different from 0.06.
Oc. Do not reject Ho. The proportion of t's is significantly different from 0.06.
O D. Reject Ho. The proportion of t's is significantly different from 0.06.
Transcribed Image Text:It was determined that the percentage of t's in the English language in the 1800s was 6%. A random sample of 500 letters from a current newspaper contained 24 t's. Test the hypothesis that the proportion of t's has changed in modern times, using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used. (... O E. Ho: p+0.06 Ha: p= 0.06 Determine the z-test statistic. (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Choose the correct conclusion. O A. Do not reject Ho. The proportion of t's is not significantly different from 0.06. O B. Reject Ho - The proportion of t's is not significantly different from 0.06. Oc. Do not reject Ho. The proportion of t's is significantly different from 0.06. O D. Reject Ho. The proportion of t's is significantly different from 0.06.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
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