Question

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of tales and ferrales, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having aan in-person coriversaliun?" Ainung the 580 males surveyed 218 resurideu "Yes", argile 520 fernales surveyed, 212 responded Yes."Dues the eviderice sugges, a higher proportion of females are annoyed by this beliaviar? Cumplete paris (a) through (g) belun. (a) Determine the sample proportion for each sample The prapartiers of the ferrales and males who took the survey who are annoyed by the behavior in question are and respectively. (Round lo lour cecimal places as needed.) (b) Expain why this study can be analyzed using the methode for conducting a hypothesis test regarding two independent proportions. Select all that apply. A. The sample size is more than 5% of the population size for each sample B. The samples are inde curent. OC. The data come from a population that is normaly distributed. D. The samples are dependent E nga 1-2 10 and 2P2 (1-62) 210 F. The sample size is less than 5% of the population size for each sample (c) What are the null and alternative hypotheses? Let P, represent the popu atlon proportion of females who are annoyed by the behavior in question and D2 represent the population proportion of males who are annoyed by the behavior in cuestion HP D H.: P1 pa (a) Describe the samping distribution of Dimas -male-Draws. normal model with the area. representing the P-value shaded for this hypothes s test. The sainaling distribution is approximately norma with mean and slandard deviation (Type an Integer or cecimal rounded to four decimal places as needed.) Draw a rormal moel with the area representing the P-value sheded for this hypothesla test. Choces the correct graph below, where the horizontal axle represents Premalo-male- OA OB. c. OD. Q ---- ----

Answer 1

solution Given data females male X = 212 X = 216 n = 560 me 520 212 suswery 0.4877 520 218 0.3893 560 a) Proportione of females who took Propertions of male who took who took survey & b) option (F) The eample size is less than 5% of for each samples. population sine c) Ho: P = P2 Hi P > P2 is normal with d) Sampling distribution of Pfemales-mate -0.0184 mean - 0.4077 -0.3893 Å (1-P) P. CIB) sto der + 10.074 (10.1007) 0,3893-(1-013893) 520 560 . 0.0298 option (c) 0.015