Asked by Jayleen Ailani on May 15, 2024
Verified
Use the given sample data to test the claim that p1 < p2.Use a significance level of 0.10. Sample 1\text { Sample } 1 Sample 1 Sample 2\text { Sample } 2 Sample 2 n1 = 462 n2 = 380
x1 = 84 x2 = 95
Significance Level
A threshold for determining the probability of rejecting the null hypothesis in a statistical test, typically set before the data is collected.
Sample Data
A subset of data collected from a larger population, used for statistical analysis.
- Understand the basics of hypothesis testing, with a concentration on interpreting p-values and significance levels.
- Engage in the application of statistical methods to compare two fractions.
Verified Answer
JC
Jasmeen chahalMay 18, 2024
Final Answer :
H0: P1\mathrm { P } 1P1 - P2\mathrm { P } 2P2 = 0 HA: P1\mathrm { P } 1P1 - P2\mathrm { P } 2P2 < 0 Test statistic: z = -2.41 P-value = 0.0080 Reject the null hypothesis.There is sufficient evidence to support the claim that p1 < p2.
Learning Objectives
- Understand the basics of hypothesis testing, with a concentration on interpreting p-values and significance levels.
- Engage in the application of statistical methods to compare two fractions.
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