Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 34 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 30 U.S. cities. The sample mean for these cities showed that x2 = 18.4% of the young adults had attended college. From previous studies, it is known that ?1 = 7.2% and ?2 = 5.6%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.) b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 34 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 30 U.S. cities. The sample mean for these cities showed that x2 = 18.4% of the young adults had attended college. From previous studies, it is known that ?1 = 7.2% and ?2 = 5.6%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05.
a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)
b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
For age 65 and older :
| Sample Mean 1 = | |
| Population Standard Deviation 1 = |
For young adults :
| Sample Mean 2 = | |
| Population Standard Deviation 2 = |
Null and Alternative Hypotheses :
It is a left-tailed test ( a z-test for two means)
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