A random sample of n1 = 154 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 11 were found to be high school dropouts. Another random sample of n2 = 136 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 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. 1. 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.) 2. Find (or estimate) the P-value. (Round your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A random sample of n1 = 154 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 11 were found to be high school dropouts. Another random sample of n2 = 136 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 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.

1. 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.)

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

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