Question

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to​ agree, or is there a substantial​ difference?

Human activity Natural patterns ​Don't know

Male    309    143    59

Female 298 161 60

Identify the null and alternative hypotheses.

Ho​: (1)__________and (2)___________are (3)_____________

H1​: (4)__________and (5)___________are (6)_____________

Compute the test statistic.

_________________________​

(Round to three decimal places as​ needed.)

Answer 1

i am using minitab to solve the problem.

steps :-

copy the data in minitab stat table chi square test for association select summarized data in a two way table from the drop down menu in columns containing the table select activity,natural patterns, don't know in rows select gender.[ i have named the male, female column as 'gender' ]ok.

*** SOLUTION***

a).the null and alternative hypotheses be:-

H_0:sex of the respondent and the choice for the cause of global warming are independent

H₁: sex of the respondent and the choice for the cause of global warming are dependent.

b). the test statistic be:-

c). p value = 0.546

decision:-

p value = 0.546 > 0.05....we fail to reject the null hypothesis.

there is enough evidence to claim that the sex of the respondent is independent of the choice for the cause of global warming.

*** if you have any doubts about the problem please mention it in the comment box... if satisfied please LIKE.