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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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Trials in an experiment with a polygraph include 99 results that include 24 cases of wrong results and 75 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method, Use the normal distribution as an approximation of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below OA. H₂: D=0.20 H₁: p<0.20 OC. Hp-0.80 H, p 0.80 OE. Hp-0.80 H, p<0.80 The test statistic is z-(Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.) OB. H: p 0.20 H, p0.20 OD. Ho p=0.20 H. p>0.20 OF HD 0.80 H₁: p>0.80 Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim H There sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time

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