Trials in an experiment with a polygraph include 96 results that include 24 cases of wrong results and 72 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. O A. H, p= 0.80 H, p>0.80 B. H, p= 0.80 H, p<0.80 OC. H; p= 0.80 O D. Ho p= 0.20 H, p>0.20 OF. Ho p=0.20 H, p#0.20 H, p#0.80 O E. H, p=0.20 H, p<0.20 The test statistic is z= - 1.22. (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.)

A: The cube when cut as shown in the figure will expose a rectangular region having a pair of opposite…

A: Given the triangle

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A: Graph of the figure is given, we have to find the missing length.

A: Note : We take AD = 36 cm. So, AC = AD + DC = 36 + 10 = 46

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A: We will prove the given result.