Question 16.11.123-T ) HW Score: 514696, 11.5 of20 points Part 4 of9 Points: 0 of 2 Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a rando sample of males and females, the following question: \"Are you annoyed by people who repeatedly check their mobile phones while having inperscn conversation?\" Among the 506 males surveyed, 195 responded \"res"; among the 525 females surveyed. 215 responded "Yes! | the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below. {3) Determine the sample proportion for each sample. The proportions of the females and males who took. the survey who are annoyed by the behavior in question are 0.4095 and 0.3653 . respectively. (Round to four decimal places as needed.) [b] Explain why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Sel all that apply. J The sample size is less than 5% of the population size for each ample. The data come from a population that is normally distributed. The sample size is more than 5% of the population size for each sample. The samples are dependent. V The samples are independent. V n15, [1 131] 210 andn2p2[1p2) 210 {c} What are the null and alternative hypotheses? Let p, represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question. [d] Describe the sampling distribution of pfamm 5mm. Draw a normal model with the area representing the Pvalue shaded for this hypothesis test. The sampling distribution is approximately normal with mean l: and standard deviation (Type an integer or decimal rounded to four decimal places as needed.)