Math Problem Statement

In​ 1997, a survey of 980 households showed that 164 of them use​ e-mail. Use those sample results to test the claim that more than​ 15% of households use​ e-mail. Use a 0.05 significance level. Use this information to answer the following questions. Question content area bottom Part 1 a. Which of the following is the hypothesis test to be​ conducted? A.Upper H 0 : p not equals 0.15 Upper H 1 : p equals 0.15 Upper H 0 : p not equals 0.15 Upper H 1 : p equals 0.15 B.Upper H 0 : p greater than 0.15 Upper H 1 : p equals 0.15 Upper H 0 : p greater than 0.15 Upper H 1 : p equals 0.15 C.Upper H 0 : p less than 0.15 Upper H 1 : p equals 0.15 Upper H 0 : p less than 0.15 Upper H 1 : p equals 0.15 D.Upper H 0 : p equals 0.15 Upper H 1 : p greater than 0.15 Upper H 0 : p equals 0.15 Upper H 1 : p greater than 0.15 E.Upper H 0 : p equals 0.15 Upper H 1 : p less than 0.15 Upper H 0 : p equals 0.15 Upper H 1 : p less than 0.15 F.Upper H 0 : p equals 0.15 Upper H 1 : p not equals 0.15 Upper H 0 : p equals 0.15 Upper H 1 : p not equals 0.15 Part 2 b. What is the test​ statistic? zequals

enter your response here ​(Round to two decimal places as​ needed.) Part 3 c. What is the​ P-value? ​P-valueequals

enter your response here ​(Round to three decimal places as​ needed.) Part 4 d. What is the​ conclusion? There is not sufficient evidence to support the claim that more than​ 15% of households use​ e-mail. There is sufficient evidence to support the claim that more than​ 15% of households use​ e-mail. Part 5 e. Is the conclusion valid​ today? Why or why​ not? A. ​No, the conclusion is not valid today because the population characteristics of the use of​ e-mail are changing rapidly. B. ​Yes, the conclusion is valid today because the requirements to perform the test are satisfied. C. You can make no decisions about the validity of the conclusion today. Which of the following is the hypothesis test to be conducted?z(Round to two decimal places as needed.)P-value(Round to three decimal places as needed.)What is the conclusion?Why or why not?

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Proportions
Statistical Inference

Formulas

z = (p̂ - p0) / √[p0(1 - p0) / n]

Theorems

Central Limit Theorem
Normal Approximation for Proportions

Suitable Grade Level

Grades 11-12 or College Level (Statistics)