25. Women's ownership of Businesses. The U.S. Census Bureau tracks trends in women's ownership of businesses. A random sample of 100 Ohio businesses showed 34 that were woman-owned. A sample of 200 New Jersey businesses showed 64 that were woman-owned. Test whether the population proportions of female-owned businesses in Ohio is greater than that of New Jersey, using level of significance .
10.3.25
, , , and . Therefore it is appropriate to perform the test for the difference in population proportions. is the population proportion of Ohio businesses that are owned by women and is the population proportion of New Jersey businesses that are owned by women. Critical-value method: . Reject if .. . Since is not , we do not reject . There is insufficient evidence at the level of significance that the population proportion of Ohio businesses that are owned by women is greater than the population proportion of New Jersey businesses that are owned by women. method: . Reject if the . . . . Since the is not , we do not reject . There is insufficient evidence at the level of significance that the population proportion of Ohio businesses that are owned by women is greater than the population proportion of New Jersey businesses that are owned by women.