1. Find the critical z values. In each case, assume that the normal distribution applies
Left-tailed test, α =0.05
2. Α = 0.005; H1 is p ≠ 0.20
3. Use the given information to find the P-value
The test statistic in a two-tailed test is z= -1.63
4. With H1:p<0.32, the test statistic is z=-1.90
5. State the final conclusion in simple nontechnical terms. Be sure to address the original claim
Original Claim: The proportion of M & Ms that are blue is equal to 0.10. Initial conclusion: Reject the null hypothesis
6. Identify the type 1 error and type II error that correspond to the given hypothesis
The proportion of college graduates who smoke is less than 0.27
7. Use the given information to find a range of numbers for the P-value.
Left-tailed test with n=12 and test statistic t=-0.855
8. Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
9. Find the value of the test statistic z using z=p-p/√pq/n
The claim is that the proportion of drivers stopped by police in a year is different from the 10.3% rate reported by the Department of Justice. Sample statistics include n=800 randomly selected drivers with 12% of them stopped in the past year.
The expert examines nine statistics questions regarding test statistics, p-values and type I and type II errors. Applying normal distributions are determined. A Complete, Neat and Step-by-step Solution is provided in the attached file.