A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? .01 (b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2 (c) What sampling distribution will you use? What assumptions are you making? (A) The standard normal. The number of trials is sufficiently large. (B)The Student's t. The number of trials is sufficiently large. (C)The standard normal. We assume the population distributions are approximately normal. (D)The Student's t. We assume the population distributions are approximately normal. (d) What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (e) Find (or estimate) the P-value. (Round your answer to four decimal places.) (f) Sketch the sampling distribution and show the area corresponding to the P-value. (if you can) (g) Based on your answers, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? (A) At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (B)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (C)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (D)At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (h) Interpret your conclusion in the context of the application. (A)Fail to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (B)Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (C)Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (D)Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.

A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? .01 (b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2 (c) What sampling distribution will you use? What assumptions are you making? (A) The standard normal. The number of trials is sufficiently large. (B)The Student's t. The number of trials is sufficiently large. (C)The standard normal. We assume the population distributions are approximately normal. (D)The Student's t. We assume the population distributions are approximately normal. (d) What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (e) Find (or estimate) the P-value. (Round your answer to four decimal places.) (f) Sketch the sampling distribution and show the area corresponding to the P-value. (if you can) (g) Based on your answers, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? (A) At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (B)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (C)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (D)At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (h) Interpret your conclusion in the context of the application. (A)Fail to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (B)Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (C)Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (D)Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

A random sample of n₁ = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n₂ = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.

(a) What is the level of significance? .01

(b) State the null and alternate hypotheses.H₀: p₁ = p₂; H₁: p₁ ≠ p₂

(c) What sampling distribution will you use? What assumptions are you making?

(A) The standard normal. The number of trials is sufficiently large.

(B)The Student's t. The number of trials is sufficiently large.

(C)The standard normal. We assume the population distributions are approximately normal.

(D)The Student's t. We assume the population distributions are approximately normal.

(d) What is the value of the sample test statistic? (Test the difference p₁ − p₂. Do not use rounded values. Round your final answer to two decimal places.)

(e) Find (or estimate) the P-value. (Round your answer to four decimal places.)

(f) Sketch the sampling distribution and show the area corresponding to the P-value. (if you can)

(g) Based on your answers, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??

(A) At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(B)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.

(C)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

(D)At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(h) Interpret your conclusion in the context of the application.

(A)Fail to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.

(B)Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.

(C)Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.

(D)Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.