Exercise 9-1 Static Indicate why the following hypotheses are not constructed correctly. a. HO: H S 10; HA: H > 10 O The alternative hypothesis HA should not have the equality sign. O The hypothesized value is not the same under the null and alternative hypotheses. O Hypothesis testing is about a sample statistic. b. Ho: H # 500; HA: H = 500 O The alternative hypothesis HA should not have the equality sign. O The hypothesized value is not the same under the null and alternative hypotheses. O Hypothesis testing is about a sample statistic.C. Ho: p s 0.40; HA: P > 0.42 O The alternative hypothesis HA should not have the equality sign. O The hypothesized value is not the same under the null and alternative hypotheses. O Hypothesis testing is about a sample statistic. d. Ho: X s 128; HA: X > 128 O The alternative hypothesis HA should not have the equality sign. O The hypothesized value is not the same under the null and alternative hypotheses. O Hypothesis testing is about a population parameter (for instance, / or p) and not a sample statistic X.Exercise 9-9 Algo A polygraph [lie detector] is an instrument used to determine if an Individual is telling the truth. These tests are considered to be 92% reliable. In other words. it an individual lies. there is a 0.92 probability that the test will detect a lie. Let there also be a 0.004 probability that the test erroneously detects a lie even when the individual Is actually telling the truth. Consider the null hypothesis. "the individual is telling the truth.' to answer the following questions. a. What is the probability of a Type I error? (Round your answer to 3 decimal places.) _ b. What is the probability of a Type II error? (Round your answer to 2 decimal places.) _