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.

1.

"A manufacturer of shampoo claims that 42% of the shampoo users prefer brand X. To test this claim, a random sample of 59 participants are selected and asked what brand they prefer. If 20 of the 59 participants prefer brand X, what conclusion do we draw? Use a 0.1 level of significance. What are the given? hypothesized proportion:Blank 1% sample proportion:Blank 2 (Write your answer in fraction form form and simplify your answer) sample size:Blank 3 level of significance:Blank 4 What are the critical values? Write the positve first then the negative Z:Blank 5 andBlank 6 What is the calculated z? Round your answer to the nearest hundredths. z:Blank 7""At a certain college, it is estimated that fewer than 75% of the students have cars on campus, and with this number, the parking lot is fully occupied. Would you suggest to increase the parking lot space if, in a random sample of 53 college students, 44 are found to have cars? Use 0.01 level of significance. I What are the given? hypothesized proportion:Blank 1% sample proportion:Blank 2 (Write your answer in fraction form and simplify your answer) 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"