## Statistics- A poll is conducted with 1434 randomly selected U.S

Please Show All of your Work! Complete 9 Problems1. A poll is conducted with 1434 randomly selected U.S. adults. The poll showed that 72% of therespondents support gun rights. The sample results are n = 1434 and^ = 0.72. Find thepconfidence Interval that corresponds to a 95% confidence interval.^ + z α √ ^ ( 1− ^ ) / nppp2to^ −z α √ ^ ( 1− ^ ) / nppp22. A poll is conducted with 1845 randomly selected U.S. adults. The poll showed that 46% of therespondents believe in cold fusion. The sample results are n = 1845 andmargin of Error that correspond to a 90% confidence interval.E=z α √ ^ ( 1− ^ ) /npp2^ =0.46 .pFind the3. The mean MPG of a mid-sized sedan is 24.6. If a hypothesis test is performed, how should youinterpret a decision that rejects the null hypothesis? Circle the correct answer.a. There is sufficient evidence to support the claim μ=24.6 .b. There is sufficient evidence to reject the claim μ=24.6 .4. Suppose we are testing the following hypotheses:H 0 : μ=25∧H 1 : μ>25. Determine thenature of the hypothesis test.5. Suppose we are testing the following hypotheses:H 0 : μ=25∧H 1 : μ<25. Determine thenature of the hypothesis test.6. Suppose we are testing the following hypotheses:H 0 : μ=25∧H 1 : μ ≠25. Determine thenature of the hypothesis test.7. For^ H 0 : μ=20∧H 1 : μ<20.A30 and ∝=0.025 ?^A what is the critical value z for a sample with^A n=8. For^ H 0 : μ=20∧H 1 : μ<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 ofmaking a Type II error.b. The level of significance, ∝ , is the minimum alternative allowable probability ofmaking a Type II error.c. The level of significance, ∝ , is the maximum alternative allowable probability ofmaking a Type I error.d. The level of significance, ∝ , is the minimum alternative allowable probability ofmaking 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 youinterpret a decision that supports the null hypothesis? Circle the correct answer.a. There is sufficient evidence to support the claim μ=432 .b. There is sufficient evidence to reject the claim μ=432 .12. True or False: The degree of freedom is equal to the sample size (n).

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