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Calculating the P-value in a z test for a proportion

AP.STATS: DAT‑3 (EU), DAT‑3.A (LO), DAT‑3.A.1 (EK), VAR‑6 (EU), VAR‑6.G (LO), VAR‑6.G.4 (EK)


A campaign manager for a political candidate released a series of advertisements criticizing the opposing candidate in an upcoming election. The opposing candidate previously had the support of 45, percent of voters, so the manager wants to test H, start subscript, 0, end subscript, colon, p, equals, 0, point, 45 versus H, start subscript, start text, a, end text, end subscript, colon, p, is less than, 0, point, 45, where p is the proportion of voters that support the opposing candidate.
After running the advertisements, the campaign manager obtained a random sample of 500 voters and found that 200 of those sampled supported the opposing candidate.
Which of the following represents the P-value for their test?
Choose 1 answer: