Question

A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Calculate the chi-square test statistic x2 to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender. Minutes spent online per day Gender 0-30 30-60 60-90 90+Male 75 45 25 35 Female 30 45 45 15 A) 19.874 B) 18.146 C) 20.912 D) 21.231

Answer 1

The answer would be 18.146

Explanation:

Given that a researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below.Gender 0-30 30-60 60-90 90+ totalMales 75 45 25 35 180Females 30 45 45 15 135H0: there is no association between gender and spending time onlineHa: There is association(Two tailed test)Expected for each cell is calculated as row total*grand total/column total<30 30-60 60-90 >90 Row TotalsMales 75 (60.00) [3.75] 45 (51.43) [0.80] 25 (40.00) [5.62] 35 (28.57) [1.45] 180Females 30 (45.00) [5.00] 45 (38.57) [1.07] 45 (30.00) [7.50] 15 (21.43) [1.93] 135chi square -= 27.125p value <0.0001Since p is less than 1% (significance level) we reject the null hypothesisThere is enough evidence to conclude that the number of minutes spent online per day is related to gender

Answer 2

There is enough evidence to conclude that the number of minutes spent online per day is related to gender

Explanation:

Given that a researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below.

Gender 0-30 30-60 60-90 90+ total

Males 75 45 25 35 180

Females 30 45 45 15 135

H0: there is no association between gender and spending time online

Ha: There is association

(Two tailed test)

Expected for each cell is calculated as row total*grand total/column total

<30 30-60 60-90 >90 Row Totals

Males 75 (60.00) [3.75] 45 (51.43) [0.80] 25 (40.00) [5.62] 35 (28.57) [1.45] 180

Females 30 (45.00) [5.00] 45 (38.57) [1.07] 45 (30.00) [7.50] 15 (21.43) [1.93] 135

chi square -= 27.125

p value <0.0001

Since p is less than 1% (significance level) we reject the null hypothesis

There is enough evidence to conclude that the number of minutes spent online per day is related to gender