A legal researcher was interested in gender differences in the willingness of prosecutors to plea bargain. She recorded the number of times they plea bargained out of their last 10 cases for a sample of eight female prosecutors and seven male prosecutors. Table 2 shows the number of plea bargain cases by gender Table shows the number of plea bargain cases by gender   Females Males     9 4     3 5     5 7     9 4     9 3     5 4     7 3     5     From performing a hypothesis test at alpha = .05 level to determine if female and male prosecutors differ in their plea bargaining of cases, complete the sentence: The p value is [w] than alpha. Consequently [x] hypothesis is [y]; thus there is [z] in average levels of intelligence between the two.

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

A  simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. .....                                                                                                                                          What type of variable is "drive an American-made automobile, or not"?                                                                      A. Qualitative with two possible outcomes                                                                                                                   B. Discrete                                                                                                                                                                     C. Continuous…

An educator believes that the proportion of finance majors seeking to earn an MBA degree equals the proportion of management majors seeking to earn an MBA degree in the population. A random sample of 100 finance majors is taken and 24 indicate that they will seek to earn an MBA degree. Likewise, a random sample of 400 management majors is taken and 65 indicate that they will seek to earn an MBA degree. Using this information, test the educator’s claim at the 0.05 level

In a study of red/green color blindness, 800 men and 2050 women are randomly selected and tested. Among the men, 68 have red/green color blindness. Among the women, 5 have red/green color blindness. We wish to test the claim that men have a higher rate of red/green color blindness.  The test statistic is?The p-value is?

The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 267 college graduates surveyed, 106 chose the response "Very important." Of the 113 people surveyed whose highest level of education was high school or less, 59 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to…

According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 323 community college students at random and finds that 134 of them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p > 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for # 3 and #4. 1. I 4. Find the p-value.-- 5. The communication professor should the null hypothesis.