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Question

1. Identify the null hypothesis H₀ and the alternative hypothesis H₁.  A researcher claims that 62% of voters favor gun control. Select one: a. H_o: p ≥ 0.62

H₁: p < 0.62 
                                                                    b. H_o: p = 0.62
H₁: p ≠ 0.62 c. H_o: p ≠ 0.62
H₁: p = 0.62 d. H_o: p < 0.62
H₁: p ≥ 0.62

2. Assume that the data has a normal distribution and the number of observations is greater than 50.  Find the critical z value used to test a null hypothesis.
a = 0.05 for a left-tailed test. Select one: a. -1.645 b. ±1.645 c. -1.96 d. ±1.96

3. Use the given information to find the P-value.  The test statistic in a right-tailed test is z = 1.43. Select one: a. 0.0764 b. 0.4236 c. 0.5000 d. 0.0434

4. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither.
Claim: m = 977. Sample data: n = 25, x-bar = 984, s = 25.  The sample data appear to come from a normally distributed population with s = 28. Select one: a. Normal b. Neither c. Student t

5. Identify the null hypothesis  and the alternative hypothesis .
A cereal company claims that the means weight of the cereal in its packets is at least 14 oz. Select one: a. H_o: µ = 14
H₁: µ < 14 b. H_o: µ > 14
H₁: µ ≤ 14 c. H_o: µ < 14
H₁: µ ≥ 14 d. H_o: µ = 14
H₁: µ > 14                                                                   

6. A medical school claims that more than 28% of its students plan to go onto general practice.  It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim. Select one: a. 0.1635 b. 0.1539 c. 0.3461 d. 0.3078
7. Find the critical value or values of  based on the given information.
 
                H₁: σ > 26.1, n = 9, α = 0.01 Select one: a. 1.646 b. 21.666 c. 20.090 d. 2.088

8. Assume that a hypothesis is test of a given claim will be conducted. Identify the type I error for the test. Select one: a. The error of failing to reject the hypothesis that the mean is 30 miles per gallon when it is actually greater than 30 miles per gallon. b. The error of rejecting the hypothesis that the mean is more than 30 miles per gallon when it is really more than 30 miles per gallon.
                c. The error of rejecting the hypothesis that the mean is 30 miles per gallon when it really is greater than 30 miles per gallon.
9. Find the number of successes x suggested by the given statement.  A computer manufacturer randomly selects 2360 of its computers for quality assurance and finds that 2.54% of these computers are found to be defective. Select one: a. 58 b. 60 c. 63 d. 65

10. From the sample statistics, find the value of used to test the hypothesis that the population proportions are equal.
 
n₁ = 507                                
n₂ = 140
x₁ = 194                                
x₂ = 35
                                Select one: a. 0.566 b. 0.257 c. 0.353 d. 0.642