Eighty thousand signatures have recently been collected for a proposed ballot measure in the upcoming state election. The Secretary of State requires validation of the signatures to ensure against fraud, duplication, incorrect addresses, etc. In all, the law requires that more than 60,000 valid signatures are collected before any measure will qualify for inclusion on the ballot. Rather than requiring validation of all the signatures submitted, the standard procedure involves taking a simple random sample of the submitted signatures and validating only the signatures in the sample. For the current measure, a sample of 1000 (of the 80,000) signatures is selected, and 78% of the signatures in the sample prove valid. Should the measure be included on the ballot? Set up the appropriate hypothesis test, using the skeptical “notenoughsignatures” position as the null hypothesis and a significance level of 5%. Report and explain your conclusion.
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