Question

Gender and Frequency of Status Updates on Facebook

The Pew Research Center conducted a survey of randomly sampled American adults, asking them about their use of social networking sites such as Facebook.¹ The table below shows the self-reported frequency of status updates on Facebook by gender. Are frequency of status updates and gender related?

↓Status/Gender →	Male	Female	Total
Every day	42	88	130
3-5 days/week	46	59	105
1-2 days/week	70	79	149
Every few weeks	77	79	156
Less often	151	186	337
Total	386	491	877

Table 1 Gender and frequency of status updates on Facebook

Round your answer for the chi-square statistic to one decimal place, and your answer for the p-value to three decimal places.

chi-square statistic = ___________________________

p-value = ________________________

Conclusion: Do not reject or Reject H0?

Are frequency of status updates and gender related?

Answer 1

We will use chi-square test of independency since we have to check whether gender and status updates are related or not.

: Gender and status updates are not related.

: Gender and status updates are related.

Test Statistic: where Oi and Ei are observed and expected freq

The observed frequencies are

↓Status/Gender →	Male	Female	Total
Every day	42	88	130
3-5 days/week	46	59	105
1-2 days/week	70	79	149
Every few weeks	77	79	156
Less often	151	186	337
Total	386	491	877

The expected freq can be calculated using

Eg : Exp for everyday male = =  

↓Status/Gender →	Male	Female	Total
Every day	57.22	72.78	130.00
3-5 days/week	46.21	58.79	105.00
1-2 days/week	65.58	83.42	149.00
Every few weeks	68.66	87.34	156.00
Less often	148.33	188.67	337.00
Total	386.00	491.00	877.00

The table for

↓Status/Gender →	Male	Female
Every day	4.05	3.18
3-5 days/week	0.00	0.00
1-2 days/week	0.30	0.23
Every few weeks	1.01	0.80
Less often	0.05	0.04

Test Statistic = 9.66

p-value =

r = 5 and c= 2

Assuming level of significance

Since p-value <

Decision: We reject the null hypothesis at 5% level of significance

Conclusion: The frequency of status updates and gender are related.