Question

The percentage of males in 1986 who are 18-19 years old and married was 3.7%. To test whether or not this percentage had increased in 2015, a random sample of 300 males aged 18-19 was taken; 20 of which were married. Using a level of significance of a = 0.05, we test the hypothesis H, that the proportion that is married is 3.7% against the alternative that it is larger. Based on the data, the observed value of the corresponding test statistic is 2.722 and we reject H. True False

Answer 1

80 solution : Given the information 20 P- pooportion of married -3.7 X n=300 x= e number of married x = level of significance = 0.05 Totest the claim Hoi proportion thatis married is 3.7% He proportion of married il gocester than 3-74 ice Hoip = 3.7 % vs Hi Rezi كمعملت A To find critical value- Zx Lex=1-0.05 0.95 see in the z-table, for what values of z the area is nearly equal to 0.95 . so for Z 196, the oneeris I=1.64 the area is 0.9495 which is nearly equal to 0.95 coificas value = 20.05 - 1.64 - (room z-table) Decision Rule using coitical methods Reject Ho when xalue of test statistics greeteo Than or equal to coitila roueg fail to reject otherwise at 5% leves of significance test statistik 2.272 2.772 1.64 we Reject to 5% level of significance ke Reject Ho Fate True at