A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of n, = 90 urban residents showed that r, = 13 subscribed, and a random sample of n, = 99 suburban residents showed that r, = 17 subscribed. Does this Indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 5% level of significance. What are we testing in this problem? O single mean O single proportion O difference of proportions O palred difference O difference of means (a) What is the level of significance? State the null and alternate hypotheses. O Ho P Pai H: P> Pa O H P, < Pai H,: P- P2 O Hạ: P, = Pai Ha P < Pa O H P" Pai H: P" Pa (b) what sampling distribution will you use? What assumptions are you making? O The Student's t. The number of trials is sufficiently large O The standard normal. The number of tnals is sufficiently large. O The Students t. we assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. what is the value of the sample test statistic (Test the difference p,- P Do not use rounded values. Round your tinal answer to two decimal places (c) Find (or estimate) the Avalue O P-value 0.250 O 0.125 < P.value 0.250 O 0.050
A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of n, = 90 urban residents showed that r, = 13 subscribed, and a random sample of n, = 99 suburban residents showed that r, = 17 subscribed. Does this Indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 5% level of significance. What are we testing in this problem? O single mean O single proportion O difference of proportions O palred difference O difference of means (a) What is the level of significance? State the null and alternate hypotheses. O Ho P Pai H: P> Pa O H P, < Pai H,: P- P2 O Hạ: P, = Pai Ha P < Pa O H P" Pai H: P" Pa (b) what sampling distribution will you use? What assumptions are you making? O The Student's t. The number of trials is sufficiently large O The standard normal. The number of tnals is sufficiently large. O The Students t. we assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. what is the value of the sample test statistic (Test the difference p,- P Do not use rounded values. Round your tinal answer to two decimal places (c) Find (or estimate) the Avalue O P-value 0.250 O 0.125 < P.value 0.250 O 0.050
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of n, = 90 urban residents showed that r, = 13 subscribed, and a random sample of n, = 99 suburban residents showed that r, = 17
subscribed. Does this Indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 5% level of significance.
what are we testing in this problem?
O single mean
O single proportion
O difference of proportions
O palred difference
O difference of means
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho Pa Pai H: P. Pa
O H: P, < Pai H: P. Pa
O Hạ: P, = Pai H P < Pa
O H: P = Pai H P. Pa
(b) what sampling distribution will you use? What assumptions are you making?
O The Student's t. The number of trials is sufficiently large.
O The standard normal. The number of tnals is sufficiently large.
O The Student's t. we assume the population distributions are approximately normal.
O The standard normal. We assume the population distributions are approximately normal.
what is the value of the sample test statistic (Test the difference p,-p Do not use rounded values. Round your tinal answer to two decimal places
(c) Find (or estimate) the Avalue
O Pvalue 0.250
O 0.125 < P.value <0.250
O 0.050 <Pvalueo.12s
O0.025 < Pvalue 0.050
O 0.00s < P-value0.02s
OPvalue 0.005
Sketch the sampling distibuion
O 10:22
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