Show All of your Work! Complete 9 Problems 1. A poll is conducted with 1434 randomly selected U.S. adults. The poll showed that 72% of the respondents support gun rights. The sample results are n = 1434 and ^ = 0.72. Find the p confidence Interval that corresponds to a 95% confidence interval. ^ + z ^ ( 1 ^ ) / n p p p 2 to ^ z ^ ( 1 ^ ) / n p p p 2 2. A poll is conducted with 1845 randomly selected U.S. adults. The poll showed that 46% of the respondents believe in cold fusion. The sample results are n = 1845 and margin of Error that correspond to a 90% confidence interval. E= z ^ ( 1 ^ ) /n p p 2 ^ =0.46 . p Find the 3. The mean MPG of a mid-sized sedan is 24.6. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? Circle the correct answer. a. There is sufficient evidence to support the claim =24.6 . b. There is sufficient evidence to reject the claim =24.6 . 4. Suppose we are testing the following hypotheses: H 0 : =25H 1 : >25. Determine the nature of the hypothesis test. 5. Suppose we are testing the following hypotheses: H 0 : =25H 1 : <25. Determine the nature of the hypothesis test. 6. Suppose we are testing the following hypotheses: H 0 : =25H 1 : 25. Determine the nature of the hypothesis test. 7. For ^ H 0 : =20H 1 : <20. A 30 and =0.025 ? ^ A what is the critical value z for a sample with ^ A n= 8. For ^ H 0 : =20H 1 : <20. A ^ A what is the critical value z for a sample with ^ A n= 10 and =0.05 ? 9. Which of the following statements is true? a. The level of significance, , is the maximum alternative allowable probability of making a Type II error. b. The level of significance, , is the minimum alternative allowable probability of making a Type II error. c. The level of significance, , is the maximum alternative allowable probability of making a Type I error. d. The level of significance, , is the minimum alternative allowable probability of making a Type I error. 10. What is the critical value for a right-tailed test with = 0.01 of a large population? 11. The mean cost of a computer is $432. If a hypothesis test is performed, how should you interpret a decision that supports the null hypothesis? Circle the correct answer. a. There is sufficient evidence to support the claim =432 . b. There is sufficient evidence to reject the claim =432 . 12. True or False: The degree of freedom is equal to the sample size (n)