A survey of 900 adults from a certain region​ asked, \"What doyou buy from your mobile​ device?\" The results indicated that 48​%of the females and 40​% of the males answered clothes. The samplesizes of males and females were not provided. Suppose that of 300​females, 144 reported they buy clothing from their mobile​ device,while of 600 ​males, 240 reported they buy clothing from theirmobile device. Complete parts​ (a) through​ (d) below.
a. Is there evidence of a difference betweenmales and females in the proportion who said they buy clothing fromtheir mobile device at the 0.1 level of​ significance? State thenull and alternative​ hypotheses, where pi 1 is the populationproportion of females who said they buy clothing from their mobiledevice and pi 2 is the population proportion of males who said theybuy clothing from their mobile device. Determine the value of thetest statistic. Upper Z Subscript STATequals nothing ​(Type aninteger or a decimal. Round to two decimal places as​ needed.)
Determining the critical values depends on the level of​significanceUse technology to find the critical​ values, roundingto two decimal places and state the conclusion.
b. Find the​ p-value in​ (a) and interpret itsmeaning.Use this information to interpret the meaning of the​p-value.
c. Construct and interpret a 99​% confidenceinterval estimate for the difference between the proportion ofmales and females who said they buy clothing from their mobiledevice. Use this information and the previous results to interpretthe confidence interval.
d. What are your answers to​ (a) through​ (c)if 432 males said they buy clothing from their mobile​ device? Isthere evidence of a difference between males and females in theproportion who said they buy clothing from their mobile device atthe 0.01 level of​ significance?
Determine the value of the test statistic. Determine theproportion of items of interest in sample​ 2, p 2.determine thevalue of the test​ statistic, rounding to two decimal places.
Determine the critical​ value(s) for this test ofhypothesis.Find the​ p-value in​ (a) and interpret its meaning.Usethe previous results to interpret the meaning of this​ p-value.
Construct and interpret a 99​% confidence interval estimate forthe difference between the proportion of males and females who saidthey buy clothing from their mobile device.
