1) The Governor of a state has started a program to encourage people to exercise
regularly. A concern of critics is that it appears to target women more than men. One
year after the program began, a random sample of 800 men and 750 women were
selected. Of the men selected, 384 exercise regularly and 398 of the women selected
exercise regularly. Use a 5% level of significance to determine if the percentage of
women who exercise regularly is greater than the percentage of men who exercise
regularly. (7 pts)
$M_1 = M_2$
$n_1 = 800$ $n_2 = 750$
2) An m&m fan is munching on some m&m's surfing the web when they come upon a
site. According to the site, 24% of m&m's are blue, 20% are orange, 16% are green,
14% are yellow, 13% are red, and 13% are brown. They want to check if this is false.
They take a bag containing several m&ms and finds that 90 are blue, 65 are orange,
50 are green, 63 are yellow, 42 are red, and 28 are brown. Assuming the bag
constitutes a random sample, can you conclude that the percentage distribution of
reported percentages is incorrect. Use a 5% level of significance. (7 pts)
