NOTE: ANSWERS MUST BE DIGITALIZED NOT HANDWRITTEN BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING

Direction: Solve the following. Fill in the blanks below. SHOW THE COMPLETE DETAILED EXPLANATION.

3.

"Suppose that in the past, 74% of all adults favored capital punishment. Do we have a reason to believe that the proportion of adults favoring capital punishment today has increased if, in a random sample of 60 adults, 41 favor capital punishment? Use a 0.05level of significance. What are the given? hypothesized proportion:Blank 1% sample proportion:Blank 2 (Write your answer in fraction form and simplify) sample size:Blank 3 level of significance:Blank 4 What is the critical value? z:Blank 5 What is the calculated z? Round your answer to the nearest hundredths. z:Blank 6""A manufacturer of shampoo claims that 27% of the shampoo users prefer brand X. To test this claim, a random sample of 53 participants are selected and asked what brand they prefer. If 8 of the 53 participants prefer brand X, what conclusion do we draw? Use a 0.05 level of significance." A "The claim is not supported by empirical evidence. In fact, it is less than the said proportion." B "The claim is not supported by empirical evidence. In fact, it is greater than the said proportion." C Empirical evidence suggest that it is safe to assume that the claim is true. D We are 100% sure that the claim is true