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
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
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
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.
What sampling distribution will you use? What assumptions are you making?
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.
Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
Interpret your conclusion in the context of the application.
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
0.050 < 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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