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Based on the sample data, we can calculate the proportion of defective watches in the sample as 3/400 = 0.0075.
To estimate the number of defective watches in the total population of 10,500 watches, we can multiply the proportion by the total number of watches: 0.0075 * 10,500 = 78.75.
Therefore, we would expect around 78 defective watches in the total population based on this sample data.