b. We want to test how accurate an optical character recognition (OCR) device is. We collect a sample of 500 handwritten words and find out that 440 were read correctly. Construct a 95% confidence interval for the population proportion.
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The U.S. Postal Service (USPS) has used optical character recognition (OCR) since the mid-1960s. In 1983, USPS began deploying the technology to major post offices throughout the country (www.britannica.com). Suppose that in a random sample of 500 handwritten zip code digits, 466 were read correctly. (b) What sample sample size is needed if we want the 95% confidence interval for the proportion of correct reading to have a margin of error to 1% or less?
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In a random sample of 500 handwritten zip code digits, 466 were read correctly by an optical character recognition (OCR) system operated by the U.S. Postal Service (USPS). USPS would like to know whether the rate is at least $90 \%$ correct. Do the data provide evidence that the rate is at least $90 \%$ at $\alpha=0.05 ?$
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