There is not enough statistical evidence to suggest that gender and belief about human origins are related. There is enough statistical evidence to suggest that gender and belief about human origins are related.   Gender and belief about human origins are related. Gender and belief about human origins are independent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.

Select the null and alternative hypothesis of the test:

H0: there is no relationship between gender and belief about human origins
Ha: there is a relationship between gender and belief about human origins
 
H0: there is a relationship between gender and belief about human origins
Ha: there is no relationship between gender and belief about human origins    


Results of the study are summarized in this table for the Belief about human origins:

  religious texts evolutionary theory total
male 30 36 66
female 110 89 199
total 140 125 265


The degrees of freedom for the the ?2 statistic are 

Round the following numbers to two places after the decimal:
The test statistic is ?2 =  
with a p-value =  

The conclusion of the test at the 5% significance level is

There is not enough statistical evidence to suggest that gender and belief about human origins are related.
There is enough statistical evidence to suggest that gender and belief about human origins are related.  
Gender and belief about human origins are related.
Gender and belief about human origins are independent.
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