Question

In: Statistics and Probability

Use the smartphone data. Test if the phone type ("Phone Type") and beliefs about the impact...

Use the smartphone data. Test if the phone type ("Phone Type") and beliefs about the impact of social media ("Impact of SocNetworking" ) are related or not. Use R to find the test statistic.

Phone Type Impact of SocNetworking
iPhone worse
Android smartphone better
Android smartphone better
iPhone better
iPhone worse
iPhone no impact
Android smartphone better
iPhone no impact
iPhone no impact
iPhone better
Android smartphone no impact
Android smartphone better
iPhone better
Android smartphone worse
Android smartphone no impact
Android smartphone better
Android smartphone better
iPhone better
Android smartphone no impact
iPhone better
Android smartphone worse
Android smartphone worse
iPhone better
Android smartphone no impact
iPhone no impact
iPhone better
Android smartphone no impact
iPhone better
iPhone better
iPhone no impact
Android smartphone better
Android smartphone worse
iPhone better
Android smartphone worse
iPhone better
Android smartphone better
Android smartphone better
Android smartphone better
Android smartphone no impact
Android smartphone worse
Android smartphone worse
Android smartphone better
iPhone better
iPhone better
iPhone better
iPhone worse
Android smartphone better
Android smartphone no impact
iPhone better
iPhone better
iPhone worse
iPhone better
iPhone better
iPhone better
iPhone better
Android smartphone worse
iPhone no impact
iPhone better
Android smartphone no impact
iPhone better
iPhone better
Android smartphone worse
iPhone better
iPhone better
Android smartphone worse
iPhone better
iPhone no impact
Android smartphone no impact
iPhone better
Android smartphone better
iPhone better
iPhone no impact
iPhone no impact
Android smartphone worse
iPhone better
iPhone better

Solutions

Expert Solution

The Null and Alternative hypothesis are

H0​: Phone Type and Impact of SocNetworking are not related

Ha​: Phone Type and Impact of SocNetworking are related

The contigency table is

Observed Frequency(Oi) Phone Type
Impact of Social Networking Android smartphone iPhone Grand Total
better 13 30 43
no impact 9 9 18
worse 11 4 15
Grand Total 33 43 76
Expected Frequency(Ei) Phone Type
Impact of Social Networking Android smartphone iPhone Grand Total
better 18.67105263 24.3289 43
no impact 7.815789474 10.1842 18
worse 6.513157895 8.48684 15
Grand Total 33 43 76

Expected Frequncy=(RowTotal*ColumnTotal) / Grand Total

The Chisquare Statistics is    

   = 8.824588

Using R

>d=read.csv(file.choose(),header=T) #First import the data
>attach(d)
>t=table(Impact.of.SocNetworking,Phone.Type)
> t
                       Phone.Type
Impact.of.SocNetworking Android.smartphone iPhone
              better                     13      30
              no.impact                   9       9
              worse                      11       4
> c=chisq.test(t)
> c

        Pearson's Chi-squared test

data: t
X-squared = 8.8246, df = 2, p-value = 0.01213
> pval
[1] 0.01212733
> c$stat
X-squared
8.824588
> pval<0.05 # alpha=0.05 level of significance
[1] TRUE
>#here pvalue<.05 then we reject the Null hypothisis and conclude that Phone Type and Impact of SocNetworking are related

orchestra answered 2 years ago
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