Question

Researchers wondered if there was a difference between males and fema es in regard to some common annoyances. They asked a random sample of maes and females, the following cuestion: "Are you annoyed by people who repeatedly check their mobile phones while having an In-person conversation?' Among the 580 males surveyed, 216 responded "Yes"; among the 520 females surveyed, 212 responded "Yes.'Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parte (a) through (g) below: (b) Explain win this study can be analyzed using the methods for conducting a hypoll'esis test regarding two indeperderil proparlions. Select all that apply. DA The sample size is more than 5% of the population size for each sampo. B. The samples are independent. C. The data come from a population that is normally distributed DD. The samples are dependent. DE R. (1-1) a 10 and naz(1-2) 210 DF. The sample size is less than 5% of the population size for each sample (c) What are the null and altemetive hypothees? Let p, represent the population proportion of females who are annoyed by e behavior in question and prepresent the population proportion of malee who are annoyed by the behavior in question. HP P2 (d) Describe the sampilng distribution of Premale-maleDrew & nomai model with the area representing the P-value shaded for this hypothesis test. The sampling distribution is approxima.ely normal wilh irean and standard deviation (Type an integer or decimal rounded to four decimal places as needed. Draw a normal model with the area represeriling the P-value s'aded for this typollesis les Chaves the corred graph bekow, where the horizontal axis represents Pies-Pins ОА OB OC. OD @ A (e) Determine the P-value based on the model from partc). First find the test statistic for this hypothesis test (Rourd to two decimal pares noored

Answer 1

male Female mg =520 nz=sso 22 =215 24 = 212 (laim: P,>/2 २१२ Szo = 0.4077 Pa 22 ma R16 560 0.3724 ē - 0, +362 mith, = 216 +12 580 + 520 ſ = 0.3891 å=in -0.0109 pant B. Correct Stectement The samples are independent TE) n. picrêda 10 and Mz Ph crpå) > 10 The sample size is less than 5% of Population size for each sanpie. part C!. Ho! P,= P2 н, : Р, > Р. parto sampling distribution of Pirlz Standard deviation, ē å ( + 2 + 7 ha) CS Scanned with CamScanner

moule 0.3891 X 0.6109x1 2,6109 xl Szo+560) = 0.02944 elp-Pi-pŻ = 0.4077-0.3724 = 0.0353 : normed with meam 0.0353 and standard deviation o.0294 0.03 53 0,0294 2 :: Pvalue = P(27 = P(2) 1.2007) IC > z 1.2007 el tests teetistics = 1.20 Pualue = P(Z> 1. 2007) = 0.1149 CS Scanned with CamScanner