Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 553 males surveyed, 190 responded the 567 females surveyed, 212 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below.

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 553 males surveyed, 190 responded "Yes"; among the 567 females surveyed, 212 responded "Yes," Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (9) below. (a) 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 |and | ,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. Select all that apply. [ A. The sample size is more than 5% of the population size for each sample. B. The sample size is less than 5% of the population size for each sample. OC. The samples are dependent. [ D. The data come from a population that is normally distributed. DE. nip (1-P1 ) 2 10 and n2P2 (1-P2) 210 OF. The samples are independent (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. Ho: P1 P2 Hy: P1 P2 (d) Describe the sampling distribution of Premale - Pmale- Draw a normal model with the area representing the P-value shaded for this hypothesis test. The sampling distribution is approximately normal with mean |] and standard deviation ]- (Type an integer or decimal rounded to four decimal places as needed.) (e) Determine the P-value based on the model from part (d). First find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) (f) Interpret the P-value. if the population proportions are one would expect a sample difference proportion the one observed in about out of 1000 repetitions of this experiment. (Round to the nearest integer as needed.) (g) Based on the P-value, what does the sample evidence suggest? That is, what is the conclusion of the hypothesis test? Assume an a = 0.05 level of significance. O A. Do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to suggest a higher proportion of females are annoyed by the behavior in question. O B. Do not reject Ho. There is sufficient evidence at the a =0.05 level of significance to suggest a higher proportion of females are annoyed by the behavior in question. O C. Reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to suggest a higher proportion of females are annoyed by the behavior in question. O D. Reject Ho. There is sufficient evidence at the a = 0.05 level of significance to suggest a higher proportion of females are annoyed by the behavior in