EXAMPLE 8.2

Inference for robotics and jobs. The sample survey in Example 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 n = 1896 and the count is X = 910. The sample proportion is

The standard error is

The z critical value for 95% confidence is z* = 1.96, so the margin of error is

The confidence interval is

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