EXAMPLE 8.3 Confidence Interval for the Proportion of Experts Who Think net Jobs Will Decrease

CASE 8.1 The sample survey in Case 8.1 found that 910 of a sample of 1896 experts reported that they think net jobs will decrease by 2025 because of robots and related technology developments. Thus, the sample size is and the count is . The sample proportion is

The standard error is

The critical value for 95% confidence is , so the margin of error is

421

The confidence interval is

We are 95% confident that between 45.8% and 50.2% of experts would report that they think net jobs will decrease by 2025 because of robots and related technology developments.