Question

A sociologist is interested in studying how the recent COVID-19 pandemic has impacted dating patterns among college students. To study this, she asked students how many dates they had gone on in the past 4 months and categorized the responses based on how the respondent met their date. Below is the data. Test the null hypothesis that there will not be a statistically significant difference in the number of dates in the past 4 months based on how they met their dates.--ANOVA METHOD--

college	work	dating app	friends/family
10	18	11	3
8	9	10	2
11	9	8	4
15	5	7	5
16	1	8	5

Answer 1

app Anova: Single Factor 00 college work 10 8 11 15 16 9 9 dating friends! family 11 3 10 2 8 4 5 8 5 Count Sum Average Variance 12 11.5 LO 0000 5 60 SUMMARY Groups college work dating app friends/family 1 5 42 8.4 39.8 5 44 8.8 2.7 5 19 3.8 1.7 df ANOVA Source of Variation Between Groups within Groups Total F P-value Fcrit 4.09216|| 0.024697 3.238872 SS 170.95 222.8 393.75 MS 3 56.98333 16 13.925 19

## Answers:

To test,

H0: there is no difference the number of dates in the past 4 months based on how they met their dates.

H1: there is difference the number of dates in the past 4 months based on how they met their dates.

test statistics F =4.09216

P-value =0.0247

let significance level =0.05

since p-value <0.05, we reject H0.

## conclusion:

There is sufficient evidence that there is significant difference the mean number of dates in the past 4 months based on how they met their dates.