Question

the percentage of gamers that own a dedicated video game console is 80%. a gaming website is marketing the latest video game console. as they prepare for an advertising campaign, the marketing team is interested in how sampling a different number of gamers would affect standard deviation. what is the standard error of the sampling distribution of sample proportions for samples of size n

Answer 1

The standard error of the sampling distribution of sample proportions can be calculated using the formula SE = √[p(1-p)/n], where p is the percentage and n is the sample size.

Step-by-step explanation:

The standard error of the sampling distribution of sample proportions for samples of size n can be calculated using the formula:

SE = √[p(1-p)/n]

where p is the percentage of gamers that own a dedicated video game console (in this case, 80%), and n is the sample size. For example, if the sample size is 100, the standard error would be:

SE = √[0.8(1-0.8)/100] = 0.04

So, for different sample sizes, the standard error would change accordingly.