residents who subscribe to Sporting News. A random sample of n1 = 88 urban residents showed that 12 subscribed, and a random sample of n2 = 99 suburban residents showed that 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?paired difference or single mean or single proportion or difference of proportions or difference of means What is the level of significance?State the null and alternate hypotheses. H0: p1 > p2; H1: p1 ≤ p2H0: p1 ≥ p2; H1: p1 < p2H0: p1 = p2; H1: p1 ≠ p2H0: p1 ≠ p2; H1: p1 = p2H0: p1 ≤ p2; H1: p1 > p2H0: p1 < p2; H1: p1 ≥ p2What sampling distribution will you use? What assumptions are you making?a.The Student's t. We assume the population distributions are approximately normal.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 standard normal. The number of trials is sufficiently large.What is the value of the sample test statistic? (Test the difference p1 − p2). Round your answer to two decimal places.Estimate the P-value.P-value > 0.2500.125 < P-value < 0.250 0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 < P-value < 0.025 P-value < 0.005Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??A.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.b.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. C.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.d.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.Interpret your conclusion in the context of the application.A.There is sufficient evidence at the 0.05 level to conclude that the proportion of suburban residents subscribing to Sporting News is higher.b. There is insufficient evidence at the 0.05 level to conclude that the proportion of suburban residents subscribing to Sporting News is higher.

According to guidelines we solve first three subparts when given multiple subparts.

Answered: residents who subscribe to Sporting…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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Related questions

Question

residents who subscribe to Sporting News. A random sample of

n₁ = 88

urban residents showed that

12 subscribed, and a random sample of

n₂ = 99

suburban residents showed that

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?

paired difference or single mean or single proportion or difference of proportions or difference of means

What is the level of significance?

State the null and alternate hypotheses.

H₀: p₁ > p₂; H₁: p₁ ≤ p₂

H₀: p₁ ≥ p₂; H₁: p₁ < p₂

H₀: p₁ = p₂; H₁: p₁ ≠ p₂

H₀: p₁ ≠ p₂; H₁: p₁ = p₂

H₀: p₁ ≤ p₂; H₁: p₁ > p₂

H₀: p₁ < p₂; H₁: p₁ ≥ p₂

What sampling distribution will you use? What assumptions are you making?

a.The Student's t. We assume the population distributions are approximately normal.

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 standard normal. The number of trials is sufficiently large.

What is the value of the sample test statistic? (Test the difference p₁ − p₂). Round your answer to two decimal places.

Estimate the P-value.

P-value > 0.250

0.125 < P-value < 0.250
0.050 < P-value < 0.125

0.025 < P-value < 0.050

0.005 < P-value < 0.025

P-value < 0.005

Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??

A.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

b.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

C.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

d.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

Interpret your conclusion in the context of the application.

A.There is sufficient evidence at the 0.05 level to conclude that the proportion of suburban residents subscribing to Sporting News is higher.

b. There is insufficient evidence at the 0.05 level to conclude that the proportion of suburban residents subscribing to Sporting News is higher.

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