Question

For samples of 60 randomly selected men and 60 randomly selected women, 65% of the men and 75% of the women prefer travel by train over travel by bus. Check that the conditions are met for a hypothesis test to compare the population proportion of men that prefer travel by train over travel by bus to the proportion of women, Select the correct answer below All of the conditions are met. es The samples are not random samples of the populations ons ourse The samples are not independent, חד Not all the values in and are at least 5. ss Center

Answer 1

meno 2 women: Sample size (n.) = 60 sample proportion (T) = 65% = 0.65- Sample xize (42) = 60 Sample proportion (Fe) = 75% =0.75 pooled proportion = Ptte C:n=n. 7 1 20.65 to.rs = 0.70, 0 = -b =0.30 init= box .o.70 = 42 ²5 (11) h49 = 6ox 0.30=18 (11) M T = box a. 70 - 42 (1vn, - Goxo.30 = 18 25 (1) h=60 <0.05 got all women (population size) (VI) 2 = 60 <ocor # of all men (population size) All of the conditions are met option 1 claim The population proportion of men that prefer travel by train (le) overtraver by bus to proposition lie; Pz SA, Costa <ke). of women (pp) Note To = htthere it ni&n2 hith₂.