uiz 3 Submit your own work. Each question is worth one point. This is due July 9th at 11:59 p.m. 1. I hope to find that the mean annual income of people in their twenties who graduated college is greater than $60,000. a. The null hypothesis is: H0: = 60,000 b. The alternative hypothesis is: H1: > 60,000 2. I hope to find evidence to support my claim that the mean weight of elderly patients in a nursing home is less than 195 pounds. a. The null hypothesis is: H0: > b. The alternative hypothesis is: H1: > 195 3. I claim that rubbing a fair coin three times in one direction will increase the likelihood of flipping a heads up. These are the hypotheses I set up for my research. Explain the Type I and Type II errors in terms of rubbing the coin and the decision. Ho: p of flipping H = 0.5 Ha: p of flipping H> 0.5 Type I error for this claim is: Type II error for this claim is: 4. If the probability that you will correctly reject a false null hypothesis is 0.80 and the significance level is set at 0.05, then is 0.05 and is 0.20. 5. The population has a mean of 678 and the population standard deviation is known to be 58.3. Use a 0.05 level of significance to test the claim that the sample scores listed below came from the population. Identify hypotheses, test statistic, P-value or critical value, conclusion about the null, and final conclusion that addresses the original claim. 714 751 698 836 664 753 789 834 818 693 779 802 6. I am looking to move to either Mississippi or Arkansas, depending on the cost of housing. Below are the costs (in thousands, hypothetically) of 12 houses in each location based upon a simple random selection: Mississippi: 138 Arkansas: 137 155 161 133 143 142 149 130 151 163 151 142 156 133 140 142 131 134 129 128 140 140 140 Use a 0.05 significance level to test the claim that the mean cost of houses in Mississippi is greater than the mean cost in Arkansas. Be sure to give the hypotheses, the test statistic with a p-value, and a conclusion. 7. I tested 300 people with a new, inexpensive, non-invasive test to determine if they had been exposed to zika. Results for 27 were wrong (either false positives or false negatives). Use a 0.05 level of significance to test the claim the <10% of test results are incorrect when using this type of test. Be sure to include hypotheses, calculated test statistic, p value, and decision. 8. I asked 10 teachers in my middle school how many times in 2015 they used tobacco and how many times they used alcohol to relax after a difficult day. Use 0.05 as the level of significance to test the claim that teachers smoke more times than they use alcohol as a way to relax. Be sure to include hypotheses, calculated test statistic, p value, and decision when analyzing the following data: Tobacco Alcohol 176 88 51 33 0 113 299 51 74 0 2 3 23 46 205 73 6 5 155 74