According to a report, 67.3% of murders are committed with a firearm. (a) If 100 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 78 murders by firearm in a random sample of 100 murders? Why? (a) We would expect to be committed with a firearm. (b) Choose the correct answer below. OA. No, because 78 is less than μ-20. 20. OB. No, because 78 is greater than μ + OC. Yes, because 78 is greater than μ + 2o. O D. No, because 78 is between μ-20 and μ + 2o. OE. Yes, because 78 is between μ-20 and μ+ 20.

Sebastian throws 850 pitches, of which 782 are strikes. To a 1% level of significance, is he right in his boast that over 90% of his pitches (in general) are strikes?

A humane society claims that less than 67% of households in a certain country own a pet. In a random sample of 600 households in that country, 384 say they own a pet. At a = 0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. More than % of households in the country own a pet. O B. % of households in the country own a pet. O C. The percentage households in the country that own a pet is not %. O D. Less than % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p= O B. O C. Ho:p…

A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1:      New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2:      Rocky Mountain Crime Rate 3.5 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8     Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)