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The director of a marketing department wants to estimate the proportion of people who purchase a certain product online. the director originally planned to obtain a random sample of 2,500 people who purchased the product. however, because of budget concerns, the sample size will be reduced to 1,500 people. What describes the effect of reducing the number of people in the sample?
The director of a marketing department wants to estimate the proportion of people who purchase a certain product online. the director originally planned to obtain a random sample of 2,500 people who purchased the product. however, because of budget concerns, the sample size will be reduced to 1,500 people. What describes the effect of reducing the number of people in the sample?
Reducing the number of people in the sample from 2,500 to 1,500 will likely decrease the accuracy and precision of the estimate of theproportionof people who purchase the product online.With a smaller sample size, there is a greater chance of sampling error and the results may not be representative of the entire population. The director should be aware that the smaller sample size may limit thereliabilityof the findings and consider adjusting the analysis accordingly.The effect of reducing the number of people in the sample from 2,500 to 1,500 for the marketing department's study can be described as follows:1.Decreased precision: By using a smaller random sample, the precision of the estimated proportion of people who purchase the product online will be reduced. This means that the range of possible values for the true proportion will be wider, leading to less certainty in the results.2.Increased margin of error: With a smaller sample size, the margin of error will increase. This means that the range within which the true proportion lies will be larger, making it more difficult for the marketing department to make accurate predictions about online purchasing behavior.3.Potential for increased bias: If the random sample of 1,500 people does not adequately represent the population of interest, the results may be more susceptible to bias. This could lead to inaccurate conclusions about the proportion of people who purchase the product online.In summary, by reducing the sample size from 2,500 to 1,500 due to budget concerns, the marketing department will face a decrease in precision, an increase in themargin of error, and a potential for increased bias in their estimation of the proportion of people who purchase the product online.Learn more aboutmargin of errorat:brainly.com/question/29101642#SPJ11...