A random semple of n,144 people ages 16 to 19 werre takn from the land ef Oah, Ha, ndwere found to be hagh school dropouts Another random sampe ef ,-I pee ages 16 te 19 takn frem Seetaster Cety, wyomnG, and wee fend te be hh whed dropouts. De theme data indicate that the populaton proportion of high school drepouts on Oahu is offerent (eter way) from that of Sweetwater County? e a 1% evel of cance (a) what is bhe level of agnficonce? State the nul and allemate hypotheses O H P,Pai , P,P, (b) what samong detribubon will you use? what assumptions are you making? O The standard normal. The number of trials is suffciently large O The standard normal. we assume the population distributions are approximately nermal O The Student's t. we assume the population destributions are approximately normal O The Student's t. The number of trialss suffdently large. what is the value of the sample test statstic (Test the dfference p,-P Do not use rounded values Reund your final anower to two declal places) () rind (or estimate) the Avalue. (Round your answer to four decimal places.) Sketch the samping distribution and show the area corresponding to the Pvalue o-3 -2 -1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A random semple of n,= 144 people ages 16 to 19 were taken from the kland of Dahu, Hawall, und B were found to be high school dropouts. Another random sample ef n,-131 people ages 16 to 19 were taken frem Sweeteater County, wyomng, and 11 were found to be hgh sdool
dropouts. Do theme data Indicate that the population proportion of high school dropouts on Oahu is different (ether way) from that of Sweetwwater County? Use a 1% level of stgniticance.
(a) what is the level of ugniicance?
State the nul and altemate hypotheses
O Hi P, = Pai H: P, <Pa
O Hi P, Pai H P Pa
O Hai P1-Pai H, PPa
O Ho P1-Pi ", P:> P2
(b) what samping distribution will you use? What assumptions are you making?
O The standard normal. The number of trials is sufficiently large.
O The standard normal. we assume the population distributions are approximately normal.
O The Student's t. We assume the population distributions are approximately normal.
O The Student's t. The number of trials is suffidently laroe.
what is the value of the sample test statastic? (Test the difference p, - P Do not use rounded values. Round vour final answer to two dectal places.)
(c) Find (or estimate) the P-value. (Round your answer to four dedimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
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Transcribed Image Text:A random semple of n,= 144 people ages 16 to 19 were taken from the kland of Dahu, Hawall, und B were found to be high school dropouts. Another random sample ef n,-131 people ages 16 to 19 were taken frem Sweeteater County, wyomng, and 11 were found to be hgh sdool dropouts. Do theme data Indicate that the population proportion of high school dropouts on Oahu is different (ether way) from that of Sweetwwater County? Use a 1% level of stgniticance. (a) what is the level of ugniicance? State the nul and altemate hypotheses O Hi P, = Pai H: P, <Pa O Hi P, Pai H P Pa O Hai P1-Pai H, PPa O Ho P1-Pi ", P:> P2 (b) what samping distribution will you use? What assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The standard normal. we assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is suffidently laroe. what is the value of the sample test statastic? (Test the difference p, - P Do not use rounded values. Round vour final answer to two dectal places.) (c) Find (or estimate) the P-value. (Round your answer to four dedimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. US O 0 4:06 hp esc -> backsp= @ #3 6. 8. 4
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