Education influences attitude and ifestyle. 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 n 34 U.S. cities. The sample mean for these cities showed that x 15.2% of the older adults had attended college. Large surveys of young adults (age 25 34) were taken in n = 40 U.S. dties. The sample mean for these cities showed that x 18.6% of the young adults had attended college. From previous studies, it is known that a 7.2% and oz 4.4%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a 0.05. (a) what is the level of significance? State the null and alternate hypotheses. Hoi H1 = Ha H H1> 2 OHo

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Education influences attitude and Sfestyle. 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 n 34 U.S. cities. The sample mean for these cities showed that x 15.2% of the older adults had attended college. Large surveys of young adults (age 25
34) were taken in n = 40 U.S. dties. The sample mean for these cities showed that x= 18.6% of the young adults had attended college. From previous studies, it is known that a
7.2% and oz 4,4%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a 0.05.
(a) what is the level of significance?
State the null and alternate hypotheses.
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approdmately normal with known standard deviations.
What is the value of the sample test statistic? (Test the difference Hi- 2 Round your answer to two decimal places.)
(c) Find (or estimate) the Pvalue. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the Pvalue.
E49
Transcribed Image Text:Education influences attitude and Sfestyle. 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 n 34 U.S. cities. The sample mean for these cities showed that x 15.2% of the older adults had attended college. Large surveys of young adults (age 25 34) were taken in n = 40 U.S. dties. The sample mean for these cities showed that x= 18.6% of the young adults had attended college. From previous studies, it is known that a 7.2% and oz 4,4%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a 0.05. (a) what is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approdmately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference Hi- 2 Round your answer to two decimal places.) (c) Find (or estimate) the Pvalue. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the Pvalue. E49
Pke
Pake
Patue
(d) Based on your answers in parts (a) to (c), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a?
At the a 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the a 0.05 level, we reject the null hypothesis and conclude the data are statistically significant
OAt the a 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
E490
Transcribed Image Text:Pke Pake Patue (d) Based on your answers in parts (a) to (c), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a? At the a 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a 0.05 level, we reject the null hypothesis and conclude the data are statistically significant OAt the a 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. E490
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