ZA music teacher knows from past records that 60% of students taking summer lessons play the piano. The instructor believes that this proportion may have dropped due to the popularity of wind and brass instruments. A random sample of 80 students yielded 43 piano players. Use a- 05. a) State the null and alternate hypotheses. Will we use a left-tailed, right-tailed, or two- tailed test? What is the level of significance? b) Identify the sampling distribution to be used: standard normal or the Student's t. Compute the z or t value of the sample test statistic and sketch its location. c) Find the P value for the sample test statistic. d) Should we reject or fail to reject the null hypothesis?

The roller coaster is 80 feet above the ground at a horizontal position of 110 feet from the boarding station.The roller coaster is at a height of 100 feet above the ground as it descends the hill and reaches a horizontal position of 170 feet from the boarding station.The roller coaster levels off at a height of 80 feet above the ground at a horizontal position of 200 feet from the boarding station, then resumes dropping.A drawing of a section of the roller coaster with points marked at 110 comma 80, 170 comma 100, and 200 comma 80.Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial function representing the height of the roller coaster,  h open parentheses x close parentheses, at a horizontal position of x feet from that of the boarding station. This rule can be left in factored form. Fill in the blanks to report your result as follows. a should be written as an integer or…