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: A. H0: there is no relationship between gender and belief about human origins Ha: there is a relationship between gender and belief about human origins B. 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 108 89 197 total 138 125 263 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 Gender and belief about human origins are independent. There is not enough statistical evidence to suggest that gender and belief about human origins are related. Gender and belief about human origins are related. There is enough statistical evidence to suggest that gender and belief about human origins are related.

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:

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

B. 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	108	89	197
total	138	125	263

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

Gender and belief about human origins are independent.

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

Gender and belief about human origins are related.

There is enough statistical evidence to suggest that gender and belief about human origins are related.

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