Math  /  Data & Statistics

QuestionA research company published survey results from two random samples. Both samples were asked "Have you listened to an audio book in the last year?" Use the accompanying results from the study to complete parts (a) and (b). \begin{tabular}{lccc} Listened to an & & & \\ audio book & 2015 & 2018 & Total \\ Yes & 232 & 366 & 598 \\ No & 1684 & 1652 & 3336 \\ Total & 1916 & 2018 & \end{tabular}
The sample proportion for 2015 is \square less than the sample proportion for 2018. b. Are a greater proportion listening to audio books in 2018 compared to 2015? Test the hypothesis that a great proportion of people listened to an audio book in 2018 than in 2015. Use a 0.01 significance level.
Consider the first sample to be the 2015 group and the second sample to be the 2018 group. What are the null and alternative hypotheses for the hypothesis test? A. H0:p1=p2H_{0}: p_{1}=p_{2} B. H0:p1>p2H_{0}: p_{1}>p_{2} C. H0:p1=p2H_{0}: p_{1}=p_{2} Ha:p1<p2H_{a}: p_{1}<p_{2} Ha:p1=p2H_{a}: p_{1}=p_{2} Ha:p1p2H_{a}: p_{1} \neq p_{2} D. H0:p1=p2H_{0}: p_{1}=p_{2} E. H0:p1<p2H_{0}: p_{1}<p_{2} F. H0:p1p2H_{0}: p_{1} \neq p_{2} Ha:p1>p2H_{a}: p_{1}>p_{2} Ha:p1=p2H_{a}: p_{1}=p_{2} Ha:p1=p2H_{a}: p_{1}=p_{2}
Identify the test statistic. z=z= \square (Round to two decimal flaces as needed.)

Studdy Solution
The 2015 proportion is **0.06** less than the 2018 proportion.
The correct hypotheses are A. H0:p1=p2H_0: p_1 = p_2 and Ha:p1<p2H_a: p_1 < p_2.
The test statistic is approximately **5.45**.

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