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
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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)
Related Recommendation
Hypothesis Test for Proportion: Survey Return Rate Less than 20%
Statistical Analysis of Proportion of Words Containing the Letter 'e'
Hypothesis Test for Increase in Proportion of Large Businesses Receiving Internet Orders
Understanding P-Value Interpretation in Hypothesis Testing for Proportions
Hypothesis Testing of College Students with Anxiety Disorders