Proide a complete solution with all work shown A rural count

Proide a complete solution with all work shown.

A rural county hospital offers several health services. The hospital administrators conducted a poll to determine whether the residents satisfaction with the available services depends on their gender. A random sample of 1,000 adult county residents were selected. The gender of each respondent was recorded and each was asked whether he or she was satisfied with the services offered by the hospital. The rulsting data are shown in the table below.

Using a significance level of 0.05 conduct an appropriate test to determine if, for adult residents of this county, there is an association between gender and whether or not they were satisfied with services offered by the hospital.

Solution

Set up hypotheses as:

H0: There is no assofication between gender and satisfaction

Ha: There is association between gender and satisfaction.
Two tailed chi square test.

The chi-square statistic is 4.1173. The P-Value is 0.042446. The result is significant at p < 0.05.

Hence there is difference in satisfaction levels between gender.