The Center for Entrepreneurship is seeking to offer programs to aid students who are interested in becoming entrepreneurs. One ongoing area of contention is whether or not female students have been “culturally disadvantaged” and, thus, have considered themselves less able to become entrepreneurs than male students. The Center has recently fielded a short survey to a random sample of students. In this survey, one of the items was “I have what it takes to become an entrepreneur.” The available responses are a five-item Likert scale where 5 = Strongly Agree; 4 = Agree; 3 = Neither agree nor disagree; 2 = Disagree; and 1 = Strongly Disagree. The Center has decided it will develop a new “remedial” program for females if female students score less than do male students on this question. The results for male students are as follows: 21 answered “5”; 25 answered “4”; 18 answered “3”; 11 answered “2”; and 6 answered “1.” For female students, the results are: 15 answered “5”; 13 answered “4”; 19 answered “3”; 10 answered “2”; and 7 answered “1.” This data results in a sample mean score for males of 3.54 (with a standard deviation of 1.22) and a sample mean score for females of 3.30 (with a standard deviation of 1.29). Using the five-step hypothesis testing process and an alpha of .05, report your findings and advise the Center as to what they should do. 1.State the null and alternate hypotheses 2. Find the test statistic (t-test or z test why?) and give the critical value 3.State the decision rule 4.Calculate the test statistic 5.State the conclusion, explain what it means, and make a recommendation
The Center for Entrepreneurship is seeking to offer programs to aid students who are interested in becoming entrepreneurs. One ongoing area of contention is whether or not female students have been “culturally disadvantaged” and, thus, have considered themselves less able to become entrepreneurs than male students. The Center has recently fielded a short survey to a random sample of students. In this survey, one of the items was “I have what it takes to become an entrepreneur.” The available responses are a five-item Likert scale where 5 = Strongly Agree; 4 = Agree; 3 = Neither agree nor disagree; 2 = Disagree; and 1 = Strongly Disagree. The Center has decided it will develop a new “remedial” program for females if female students score less than do male students on this question.
The results for male students are as follows: 21 answered “5”; 25 answered “4”; 18 answered “3”; 11 answered “2”; and 6 answered “1.” For female students, the results are: 15 answered “5”; 13 answered “4”; 19 answered “3”; 10 answered “2”; and 7 answered “1.” This data results in a sample mean score for males of 3.54 (with a standard deviation of 1.22) and a sample mean score for females of 3.30 (with a standard deviation of 1.29). Using the five-step hypothesis testing process and an alpha of .05, report your findings and advise the Center as to what they should do.
1.State the null and alternate hypotheses
2. Find the test statistic (t-test or z test why?) and give the critical value
3.State the decision rule
4.Calculate the test statistic
5.State the conclusion, explain what it means, and make a recommendation
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