Question

The Harris Poll conducted a survey in which they asked, “How many tattoos do you currently have?” Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportions of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo.

I) Ho:                            [ Select ]                       ["Pop. Proportion 1 = Pop. Proportion 2", "Pop. Mean 1 = Pop. Mean 2", "Pop. SD 1 = Pop. SD2"]         vs Ha:                            [ Select ]                       ["Pop. Proportion 1 < Pop. Proportion 2", "Pop. Mean 1 < Pop. Mean 2", "Pop. Proportion 1 NOT = Pop. Proportion 2", "Pop. Mean 1 NOT= Pop. Mean 2"]         , Test is a                            [ Select ]                       ["Left Tail Test", "Two-Tail Testing", "Right Tail Test"]      

II) The level of significance is:                            [ Select ]                       ["0.01", "0.001", "0.05", "0.005"]      

III) Confidence Interval: (                            [ Select ]                       ["-0.070", "-0.004", "-0.048", "-0.009", "-0.075"]        [ Select ]    ["-0.018", "0.044", "0.009", "0.048", "-0.022"]         )

IV) Making a decision:                            [ Select ]    ["Do Not Reject the Ho", "Reject the Ho"]      

V) There                            [ Select ]    ["IS NOT", "IS"]         sufficient evidence to conclude the                            [ Select ]                       ["There IS significant evidence to conclude that the proportion of males who have tattoos is LESS than the proportion of females that have tattoos.", "There IS significant evidence to conclude that there is a difference in the proportion of males and females that have tattoos.", "There is NOT significant evidence to conclude that the proportion of males who have tattoos is greater than the proportion of females that have tattoos.", "There is NOT significant evidence to conclude that there is a difference in the proportion of males and females that have tattoos."]         at the level of significance of [alpha].

Answer 1

Given:

X1 = 181, n1 = 1205

X2 = 143, n2 = 1097

1)Hypothesis test :

Ho : p1 = p2

Ha : p1 p2

So Ho : Proportion 1 = Proportion 2

Since alternative hypothesis contain sign ,  this is a two-tailed test.

2) Level of significance, = 1-0.95 = 0.05

There is NOT significant evidence to conclude that there is a difference in the proportion of males and females that have tattoos at the level of significance of = 0.05