A finished BUS-352 Topic 4 interval estimate memo example, building a confidence interval for a renewal rate, wording it correctly and judging whether its lower bound clears break-even. Searches like "bus 352 topic 4 assignment example", "bus352 topic 4 sample" and "bus-352 topic 4 example" land here.
What a finished BUS-352 Topic 4 interval estimate memo looks like
The finished memo is written for a pricing committee and puts the decision rule in its first paragraph: the increase pays only if the renewal rate stays above an illustrative break-even of 55 percent. The survey result follows, 124 of 200 randomly selected customers saying they would renew, a sample proportion of 62 percent. The memo confirms the normal approximation is safe at this sample size, computes the standard error, and reports a 95 percent interval of about 55.3 to 68.7 percent. It then reads the interval against the rule. The lower bound barely clears break-even, so the evidence supports the increase only narrowly. A paragraph on stated intentions notes that survey answers may overstate actual renewals, a problem no interval corrects. The recommendation is a limited rollout with actual renewals tracked.
How a BUS-352 Topic 4 example is structured
The memo is ordered so the committee meets the decision rule before it meets any statistic. It opens with the pricing question and the break-even renewal rate, noting that the break-even figure is an illustrative finance estimate. The data section describes how the 200 customers were chosen and what they were asked, since a random sample of current subscribers supports a different claim than a sample of volunteers. The estimate section gives the sample proportion, confirms the conditions for the interval, and works through the standard error to the margin of error one line at a time. The interpretation section states the interval in one careful sentence and then compares both bounds with break-even. A limits paragraph addresses the gap between stated and actual renewal. The memo closes with the recommendation and the sample size that would narrow the interval to about three points either side.
The decision rule stated first
The committee learns before any statistic appears that the increase pays only above an illustrative 55 percent renewal rate, which gives the interval a job.
Conditions checked before the interval
Random selection and enough expected renewals and non-renewals in the sample are confirmed, so the normal approximation behind the interval is justified rather than assumed.
One sentence of careful wording
The 95 percent is attached to the survey method over many repetitions, and the memo says outright that this one interval could miss the true rate.
Both bounds read against break-even
Because the lower bound sits just above 55 percent, the memo calls the support for the increase real but thin, the plain message the committee needs.
What no interval can correct
Customers who say they will renew do not always renew, and the memo treats that gap as a separate risk that sampling theory does not address.
Where marks go in BUS-352 Topic 4
Much of the credit on this topic rides on a single sentence, the interpretation. Treating 95 percent as the chance that the true renewal rate falls inside these particular bounds is the misreading instructors expect to see, because the true rate does not move; what changes from one survey to the next is the interval. A memo that sets only the 62 percent point estimate against break-even ignores the uncertainty the interval is there to report, and here it would make the increase look safer than it is. Computing the standard error from the 55 percent break-even rather than the observed 62 percent mixes the logic of a test into the interval. Skipping the sample-size conditions leaves the method unjustified. Recommendations that equate stated intentions with actual renewals claim a precision about behavior the survey never had.
Get a BUS-352 Topic 4 example written to your instructions
Send the BUS-352 Topic 4 instructions and the rubric your classroom posts, with the sample data or summary figures you were given. We write a custom example to those criteria, with the interval built step by step, worded the way it should be and read against the decision it informs, back in 24 to 48 hours. The first one is free.
BUS-352 Topic 4 questions, answered
How should the interval be worded in a business memo?
Plainly and without the probability slip. Something like: based on this sample, the renewal rate among all current customers is estimated at between about 55 and 69 percent, using a method that captures the true rate in roughly 95 of every 100 surveys of this kind. Then say what that range means for the decision, since the committee is paying for the comparison, not the arithmetic.
Why not just compare 62 percent with the break-even rate?
Because 62 percent is one survey's result, and another random 200 customers would give a somewhat different figure. The interval shows how far that figure could plausibly move. Here the point estimate sits comfortably above break-even while the lower bound barely clears it, and that difference changes the recommendation from a confident rollout to a cautious one.
How many customers would a tighter interval need?
Roughly four times as many responses to halve the margin, since precision improves only with the square root of n. For a proportion near 62 percent, a margin of about three points either side needs on the order of a thousand randomly chosen customers. The memo reports that figure so the committee can weigh the cost of a larger survey against the cost of deciding on thinner evidence.