1.A Roper Poll claims that more than 5% of U.S. adults have had vivid dreams about UFOs. You decide to test this claim and ask a random sample of 250 U.S. adults whether they have had vivid dreams about UFOs. Of those surveyed, 12% reply yes.

What is the p-value in this test?

Based on your previous results what would be your conclusion?

2.In a survey of 1135 male senior citizens, 54% said they eat the daily recommended number of servings of fruit. In a survey of 1055 female senior citizens, 51% said they eat the daily recommended number of servings of fruit. At = 0.10, can you support the claim that the proportion of senior citizens who said they eat the daily recommended number of servings of fruit is below for males than for females.

What is the Ha for this test?

What is the P-value in this scenario?