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- 86 urban residents showed that r- 14 subscribed, and a random sample of n 97 suburban residents showed that - 20 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 difference of means O difference of proportions O paired difference O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P < Pai Hi P" P2 O Họ: P Pai Hạ: P Pa O Ho: P - Pzi H: P> P2 O Hại P - Pai H: Pi < P2 (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. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference p- P2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the Pvalue. O Pvalue > 0.250 O 0.125 < Pvalue <0.250 O 0.050 < P-value <0.125 O 0.025 < Prvalue < 0.050 O 0.005 < Pvalue <0.025

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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, = 86 urban residents showed that r, = 14 subscribed, and a random sample of n, = 97 suburban residents showed that r = 20 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 difference of means
O difference of proportions
O paired difference
O single mean
O single proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: P1 < P2; H1: P1 = P2
O Ho: P1 = P2i H1: P1 * P2
O Ho: P1 = P2i H1: P1 > P2
O Ho: P1 = P2i H1: P1 < P2
(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. We assume the population distributions are approximately normal.
O The Student's t. We assume the population distributions are approximately normal.
O The standard normal. The number of trials is sufficiently large.
What is the value of the sample test statistic? (Test the difference p, - p2. Do not use rounded values. Round your final answer to two decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
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, = 86 urban residents showed that r, = 14 subscribed, and a random sample of n, = 97 suburban residents showed that r = 20 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 difference of means O difference of proportions O paired difference O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P1 < P2; H1: P1 = P2 O Ho: P1 = P2i H1: P1 * P2 O Ho: P1 = P2i H1: P1 > P2 O Ho: P1 = P2i H1: P1 < P2 (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. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference p, - p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
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