Percentage of 18- to 24-year olds living in parents\' homes Refer to the figure

Question

Percentage of 18- to 24-year olds living in parents' homes Refer to the figure at the right. At = 0.05, can you support the claim that the proportion of women ages 18 to 24 living in parents' homes was greater in 1997 than in 2002? Assume the survey included 12,900 men and 13,100 women in 1997 and 14,000 men and 14,400 women in 2002, and assume the samples are random and independent 51.2%44956 47.1% 1997 2002 Mer Wo identty the null and altemative nypotheses. Choose the correct answer below Ha P1 SP2 O C. Ho P1 P2 Ha P1 P2 Ha P1 Pz D. Ho: P1 P Ha P1 P2 Find the critical value. The critical value is zo = 1.64 (Round to two decimal places as needed.) Find the standardized test statistic. (Round to two decimal places as needed.)

Explanation / Answer

Null hypothesis H0 :p1<=p2

Alternate hypothesis H1 : P1>p2

z critical value = 1.64

z test statistic = (p1-p2)/((p1)(1-p1)/n1)+((p2)(1-p2)/n2))0.5

= (0.449-0.471)/((0.449)(0.551)/13100 + (0.471)(0.529)/14000)0.5

= -3.63

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