Q$2.($Chi$-$square Test of Independence$).$ A company is experimenting with $5$ advertising formats on

digital platforms to know which ad is suitable to be published at platforms. In particular, there are $5$

platforms: $1.$ search, $2.$ display, $3.$ Video, $4.$ Facebook, $5.$ Email

While display ads can show up on sites across the Internet, search ads only appear in search engine

results. The digital marketing manager takes a sample of $1000$ clicked ads and checks the distribution of

ad per platform. Table below shows how number of clicks are distributed on platforms.

Use the data to test if ad format $($Ad$1,$ Ad$2,$ Ad$3,$ Ad$4,$ Ad$5)$ and platform type are related. Use

adsCTR.xlsx

Platform Ad$1$ Ad$2$ Ad$3$ Ad$4$ Ad$5$ Total

Search $6515302040170$

Display $3040603025185$

Video $4590353580285$

Facebook $50651015100240$

Email $1025205015120$

Total $2002351551502601000$

a$)$ Write the null and alternative hypothesis.

H$0$:

Ha:

b$)$ Use chi$-$square test of independence and check the null hypothesis $($reject$/$accept$)$ by reporting P$-$

value OR chi$-$square and critical value. What is the test's conclusion?

Print Chi$-$square table output here:

P$-$value $($Or chi$-$square value$)$:

Test conclusion:

Managerial implication: