In 2011, adults who used text messaging on their cell phones sent and received an average of 41.5 texts per day (Source: PewInternet.org).You would like to determine whether there is evidence of an increase since 2011 in the average number of texts sent and received.Taking the "status quo" approach to form your null hypothesis, what would be the appropriate pair of hypotheses for your test? A) H₀: µ 41.5 texts (The average number of texts sent/received is greater than 41.5.) H_a: µ ≤ 41.5 texts (The average number of texts sent/received is no more than 41.5.) B) H₀: µ = 41.5 texts (The average number of texts sent/received is 41.5.) H_a: µ ≠ 41.5 texts (The average number of texts sent/received is not 41.5.) C) H₀: µ ≠ 41.5 texts (The average number of texts sent/received is not 41.5.) H_a: µ = 41.5 texts (The average number of texts sent/received is 41.5 texts.) D) H₀: µ ≤ 41.5 texts (The average number of texts sent/received is no more than 41.5.) H_a: µ 41.5 texts (The average number of texts sent/received is greater than 41.5.) E) H₀: µ 41.5 texts (The average number of texts sent/received is greater than 41.5.)

Question

In 2011, adults who used text messaging on their cell phones sent and received an average of 41.5 texts per day (Source: PewInternet.org).You would like to determine whether there is evidence of an increase since 2011 in the average number of texts sent and received.Taking the "status quo" approach to form your null hypothesis, what would be the appropriate pair of hypotheses for your test? A) H₀: µ > 41.5 texts (The average number of texts sent/received is greater than 41.5.) H_a: µ ≤ 41.5 texts (The average number of texts sent/received is no more than 41.5.) B) H₀: µ = 41.5 texts (The average number of texts sent/received is 41.5.) H_a: µ ≠ 41.5 texts (The average number of texts sent/received is not 41.5.) C) H₀: µ ≠ 41.5 texts (The average number of texts sent/received is not 41.5.) H_a: µ = 41.5 texts (The average number of texts sent/received is 41.5 texts.) D) H₀: µ ≤ 41.5 texts (The average number of texts sent/received is no more than 41.5.) H_a: µ > 41.5 texts (The average number of texts sent/received is greater than 41.5.) E) H₀: µ < 41.5 texts (The average number of texts sent/received is less than 41.5.) H_a: µ > 41.5 texts (The average number of texts sent/received is greater than 41.5.)

Quizplus · Accepted Answer

The null hypothesis (H0) represents the status quo or no change, so it should state that the average number of texts sent/received is 41.5 or less (µ ≤ 41.5). The alternative hypothesis (H1) is what you're testing for—an increase—so it should state that the average is greater than 41.5 (µ > 41.5).

In 2011, Adults Who Used Text Messaging on Their Cell