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3 statistics questions?
You want to find out if the proportion of female college students who had a scholarship during the past semester is greater than the proportion of male college students who had a scholarship during the past semester. Out of a simple random sample of 400 female and 450 male college students, you find that 305 females and 326 males reported they had a scholarship the previous semester.
Which hypotheses should you test if pm and pf denote the proportions of all college males and females, respectively, who had a scholarship the previous semester?
A.H0: pm − pf = 0 versus Ha: pm − pf ≠ 0
B.H0: pm − pf = 0 versus Ha: pm − pf > 0
C. H0: pm − pf = 0 versus Ha: pm − pf < 0
D. H0: pm − pf > 0 versus Ha: pm − pf = 0
E. H0: pm − pf ≠ 0 versus Ha: pm − pf = 0
An opinion poll asked a random sample of adults whether they believe flu shots are ineffective in the United States. A commentator believes less than 35% of all adults believe they are ineffective. Which null and alternative hypotheses should be used to test this claim?
A. H0: p ≠ 0.35, Ha: p < 0.35
B. H0: p = 0.35, Ha: p < 0.35
C. H0: p = 0.35, Ha: p ≠ 0.35
D. H0: p < 0.35, Ha: p = 0.35
E. H0: p = 0.35, Ha: p > 0.35
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