Darrin surveyed a random sample of 10 students from his science class about their favorite types of TV shows. Five students like
detective shows, 4 like comedy shows, and 1 likes game shows. Darrin concluded that the most popular type of TV show among students in his school is likely detective shows. Explain why Darrin’s inference is not valid.
In my opinion, Darrin's inference is wrong because according to given question, "<em>Darrin surveyed a random sample of 10 students from his science class about their favorite types of TV shows.</em><em>"</em><em> </em>
This line provides the information that the survey is taken randomly. Also, if Darrin had taken some other students, then the ineference of other new students compared with previously surveyed students will be different.
This frankly tells that <em>t</em><em>h</em><em>e</em><em> </em><em>p</em><em>r</em><em>o</em><em>b</em><em>a</em><em>b</em><em>i</em><em>l</em><em>i</em><em>t</em><em>y</em><em> </em><em>i</em><em>s</em><em> </em><em>d</em><em>i</em><em>f</em><em>f</em><em>e</em><em>r</em><em>e</em><em>n</em><em>t</em><em> </em><em>a</em><em>l</em><em>w</em><em>a</em><em>y</em><em>s</em><em>.</em>
Therefore, Darrin's inference is wrong or invalid.
