The accompanying data on degree of spirituality for a sample of natural scientists and a sample of social scientists working at research universities appeared in a paper. Assume that it is reasonable to regard these two samples as representative of natural and social scientists at research universities. Is there evidence that the spirituality category proportions are not the same for natural and social scientists? Test the relevant hypotheses using a significance level of 0.01. Degree of Spirituality Very Moderate Slightly Not at All Natural Scientists 56 160 198 212 Social Scientists 58 228 242 234 State the null and alternative hypotheses. O H,: The spirituality category for natural scientists and social scientists are independent. H: The spirituality category for natural scientists and social scientists are not independent. O Ho: The spirituality category for natural scientists and social scientists are not independent. H: The spirituality category for natural scientists and social scientists are independent. O Ho: The spirituality category proportions are not all the same for natural scientists and social scientists. H: The spirituality category proportions are the same for natural scientists and social scientists. Ho: The spirituality category proportions are the same for natural scientists and social scientists. H,: The spirituality category proportions are not all the same for natural scientists and social scientists. Calculate the test statistic. (Round your answer to two decimal places.) x² = L What is the P-value for the test? (Round your answer to four decimal places.) P-value = What can you conclude? O Do not reject Ho: There is not enough evidence to conclude that there is an association between natural scientists and social scientists. O Reject Hp. There is convincing evidence to conclude that there is an association between natural scientists and social scientists. O Do not reject H. There is not enough evidence to conclude that the spirituality category proportions are not all the same for natural scientists and social scientists. O Reject H,. There is convincing evidence to conclude that the spirituality category proportions are not all the same for natural scientists and social scientists.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Topic Video
Question
100%
The accompanying data on degree of spirituality for a sample of natural scientists and a sample of social scientists working at
research universities appeared in a paper. Assume that it is reasonable to regard these two samples as representative of
natural and social scientists at research universities. Is there evidence that the spirituality category proportions are not the
same for natural and social scientists? Test the relevant hypotheses using a significance level of 0.01.
Degree of Spirituality
Very
Moderate
Slightly
Not at All
Natural Scientists
56
160
198
212
Social Scientists
58
228
242
234
State the null and alternative hypotheses.
O H: The spirituality category for natural scientists and social scientists are independent.
H: The spirituality category for natural scientists and social scientists are not independent.
O H,: The spirituality category for natural scientists and social scientists are not independent.
H: The spirituality category for natural scientists and social scientists are independent.
O Ho: The spirituality category proportions are not all the same for natural scientists and social scientists.
: The spirituality category proportions are the same for natural scientists and social scientists.
Ho:
: The spirituality category proportions are the same for natural scientists and social scientists.
H: The spirituality category proportions are not all the same for natural scientists and social scientists.
Calculate the test statistic. (Round your answer to two decimal places.)
x² = |
What is the P-value for the test? (Round your answer to four decimal places.)
P-value =
What can you conclude?
O Do not reject Ho. There is not enough evidence to conclude that there is an association between natural scientists and
social scientists.
Reject H,. There is convincing evidence to conclude that there is an association between natural scientists and social
scientists.
O Do not reject H,. There is not enough evidence to conclude that the spirituality category proportions are not all the same
for natural scientists and social scientists.
O Reject H,. There is convincing evidence to conclude that the spirituality category proportions are not all the same for
natural scientists and social scientists.
Transcribed Image Text:The accompanying data on degree of spirituality for a sample of natural scientists and a sample of social scientists working at research universities appeared in a paper. Assume that it is reasonable to regard these two samples as representative of natural and social scientists at research universities. Is there evidence that the spirituality category proportions are not the same for natural and social scientists? Test the relevant hypotheses using a significance level of 0.01. Degree of Spirituality Very Moderate Slightly Not at All Natural Scientists 56 160 198 212 Social Scientists 58 228 242 234 State the null and alternative hypotheses. O H: The spirituality category for natural scientists and social scientists are independent. H: The spirituality category for natural scientists and social scientists are not independent. O H,: The spirituality category for natural scientists and social scientists are not independent. H: The spirituality category for natural scientists and social scientists are independent. O Ho: The spirituality category proportions are not all the same for natural scientists and social scientists. : The spirituality category proportions are the same for natural scientists and social scientists. Ho: : The spirituality category proportions are the same for natural scientists and social scientists. H: The spirituality category proportions are not all the same for natural scientists and social scientists. Calculate the test statistic. (Round your answer to two decimal places.) x² = | What is the P-value for the test? (Round your answer to four decimal places.) P-value = What can you conclude? O Do not reject Ho. There is not enough evidence to conclude that there is an association between natural scientists and social scientists. Reject H,. There is convincing evidence to conclude that there is an association between natural scientists and social scientists. O Do not reject H,. There is not enough evidence to conclude that the spirituality category proportions are not all the same for natural scientists and social scientists. O Reject H,. There is convincing evidence to conclude that the spirituality category proportions are not all the same for natural scientists and social scientists.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning