Case Study $7$:

A digital marketing team is analyzing their social media campaign. The campaign reached $50,000$ people and had an engagement rate of $\backslash (12\backslash \%\backslash ).$ Calculate the number of people who engaged with the campaign. If the goal was to have at least $5,000$ engagements, did the campaign meet the goal?

$-$ Hint: Multiply the total reach by the engagement rate to find the number of engaged people. Compare the calculated engagements to the target.

Answer:

$-$ Engagement Calculation:

$-$ Total Reach:

$-$ Engagement Rate: $\backslash (\backslash \%\backslash )$

$-$ Number of Engaged People $=$ Total Reach $*$ Engagement Rate

$\backslash [$

$=\backslash$quad$\{\}^\{*\}\backslash \_$

$\backslash ]$

$-$ Goal Comparison:

$-$ Actual Engagements $)\backslash (>\backslash )$ Goal I $),$ hence the campaigr the goal. $($met$/$not met$).$ Case Study $8$:

A company's website sees a reduction in its bounce rate from $\backslash (70\backslash \%\backslash )$ to $\backslash (50\backslash \%\backslash ).$ If the website receives $20,000$ visitors, how many fewer people bounced? Also, calculate the new number of visitors who stayed on the site.

$-$ Hint: Calculate the number of initial and new bounces using the bounce rates and subtract to find the reduction. Subtract the new bounces from the total visitors to find the number of visitors who stayed.

Answer:

$-$ Bounce Rate Calculation:

$-$ Initial Bounce Rate: $\backslash (\backslash \%\backslash )$

$-$ New Bounce Rate: $\backslash (\backslash \%\backslash )$

$-$ Number of Visitors:

$-$ Initial Bounces $=$ Initial Bounce Rate $*$ Number of Visitors $\backslash (=\backslash$ldots$+\backslash$quad $*\backslash$quad$=\backslash )$

$-$ New Bounces $=$ New Bounce Rate $*$ Number of Visitors

$\backslash [$

$=\backslash$ldots

$\backslash ]$

$-$ Reduction in Bounces $=$ Initial Bounces $-$ New Bounces

$\backslash (=\backslash )$

$-$ Number of Visitors who Stayed:

$-$ New Visitors who Stayed $=$ Number of Visitors $-$ New Bounces

$\backslash (=\backslash )\backslash (-\backslash )\backslash (=\backslash )$ Case Study $9$:

An e$-$commerce site has a conversion rate of $\backslash (4\backslash \%\backslash )$ and wants to increase it to $6\backslash \%.$ If the site currently receives $25,000$ visitors, calculate the increase in the number of conversions needed to achieve the new conversion rate.

$-$ Hint: Multiply the initial and new conversion rates by the number of visitors to find the initial and new conversions. Subtract to find the increase in conversions.

Answer:

$-$ Initial Conversions:

$-$ Initial Conversion Rate: $\backslash (\backslash \%\backslash )$

$-$ Number of Visitors:

$-$ Initial Conversions $=$ Initial Conversion Rate $*$ Number of Visitors

$-$ New Conversions:

$-$ New Conversion Rate:

$-$ New Conversions $=$ New Conversion Rate $*$ Number of Visitors

$\backslash (=\backslash )*\backslash (=\backslash )$

$-$ Increase in Conversions:

$-$ Increase in Conversions $=$ New Conversions $-$ Initial Conversions $\backslash (=\backslash )\backslash (-\backslash )\backslash (=\backslash )$ Case Study $10$:

A company's digital marketing campaign generated $300$ leads from $10,000$ visitors. Out of these leads, $60$ converted into customers. Calculate the lead$-$to$-$visitor conversion rate and the lead$-$to$-$customer conversion rate. Determine if the lead$-$to$-$customer conversion rate is above or below $\backslash (\backslash$mathbf$\{20\backslash \%\}\backslash ).$

$-$ Hint: Divide the number of leads by the number of visitors and multiply by $100$ to find the lead$-$to$-$visitor conversion rate. Divide the number of customers by the number of leads and multiply by $100$ to find the lead$-$to$-$customer conversion rate. Compare the calculated rate to $\backslash (20\backslash \%\backslash ).$

Answer:

$-$ Lead$-$to$-$Visitor Conversion Rate:

$-$ Number of Leads:

$-$ Number of Visitors:

$-$ Lead$-$to$-$Visitor Conversion Rate $\backslash (=\backslash )($Number of Leads $/$ Number of Visitors$)*100$

$\backslash [$

$=1\backslash$quad $1\backslash$quad $1*100=\backslash$quad $\backslash \%$

$\backslash ]$

$-$ Lead$-$to$-$Customer Conversion Rate:

$-$ Number of Customers:

$-$ Lead$-$to$-$Customer Conversion Rate $\backslash (=\backslash )($Number of Customers $/$ Number of Leads$)\backslash (*100\backslash )$

$\backslash [$

$=1\backslash$quad $/\backslash$quad $1^\{*\}100=\backslash$quad $\backslash \%$

$\backslash ]$

$-$ Comparison:

$-$ The Lead$-$to$-$Customer Conversion Rate is