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 = 30 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 = 34 U.S. cities. The sample mean for these cities showed that x2 = 19.7% of the young adults had attended college. From previous studies, it is known that ?1 = 6.8% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. I need help with finding the P-value Sketch the sampling distribution and show the area corresponding to the P-value.baP.valueP-valuedP-valueP-value-z-z(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.(e) Interpret your conclusion in the context of the application.O Fail to reject the null hypothesis, there is sufficient evidence that the mean percentage of young adults who attend college is higher.O Reject the null hypothesis, there is sufficient evidence that the mean percentage of young adults who attend college is higher.O Fail to reject the null hypothesis, there is insufficient evidence that the mean percentage of young adults who attend college is higher.O Reject the null hypothesis, there is insufficient evidence that the mean percentage of young adults who attend college is higher. 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 n, = 30 U.S. cities. The sample mean for thesecities showed that x, = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n, = 34 U.S. cities. The sample mean for these cities showed that x, = 19.7% of the young adults had attended college. Fromprevious studies, it is known that o, = 6.8% ando, = 4.8%. 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.O Ho: H1 = H2i Hz: H1 < HzO Ho: H1 = H2i Hi: Hy # HzO Ho: H1 < Hzi Hi: H1 = H2O Ho: H1 = H2i H;: H1 > Hz(b) What sampling distribution will you use? What assumptions are you making?O The standard normal. 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 known standard deviations.O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.What is the value of the sample test statistic? (Test the difference u, - µz. Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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Description: 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 = 30 U.S. cities. The sample m

The test statistic is, z=x¯1-x¯2σ12n1+σ22n2=15.2-19.76.8230+4.8234=-4.51.48962424529=-3.0209≈-3.02…

Answered: I need help with finding the P-value

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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 = 30 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 = 34 U.S. cities. The sample mean for these cities showed that x₂ = 19.7% of the young adults had attended college. From previous studies, it is known that ?₁ = 6.8% and ?₂ = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05.

I need help with finding the P-value

Sketch the sampling distribution and show the area corresponding to the P-value.
b
a
P.value
P-value
d
P-value
P-value
-z
-z
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
(e) Interpret your conclusion in the context of the application.
O Fail to reject the null hypothesis, there is sufficient evidence that the mean percentage of young adults who attend college is higher.
O Reject the null hypothesis, there is sufficient evidence that the mean percentage of young adults who attend college is higher.
O Fail to reject the null hypothesis, there is insufficient evidence that the mean percentage of young adults who attend college is higher.
O Reject the null hypothesis, there is insufficient evidence that the mean percentage of young adults who attend college is higher.

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 n, = 30 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, = 34 U.S. cities. The sample mean for these cities showed that x, = 19.7% of the young adults had attended college. From
previous studies, it is known that o, = 6.8% ando, = 4.8%. 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.
O Ho: H1 = H2i Hz: H1 < Hz
O Ho: H1 = H2i Hi: Hy # Hz
O Ho: H1 < Hzi Hi: H1 = H2
O Ho: H1 = H2i H;: H1 > Hz
(b) What sampling distribution will you use? What assumptions are you making?
O The standard normal. 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 known standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
What is the value of the sample test statistic? (Test the difference u, - µz. Round your answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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