PLEASE EXPLAIN YOUR ANSWERS FOR ALL OF THEM! THANK YOU SO MUCH!

1) A manufacturer of a new medication on the market for Crohn's disease makes a claim that the medication is effective in 85% of people who have the disease. One hundred seventy-five individuals with Crohn's disease are given the medication, and 135 of them note the medication was effective. Does this finding provide statistical evidence at the 0.05 level that the effectiveness is less than the 85% claim the company is making? Make sure to include parameters, conditions, calculations, and a conclusion in your answer.

2)

A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years and 50 years when 50% of all applicants were in that age bracket. You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory. (10 points) Part A: State the null and alternative hypotheses for the significance test. (2 points) Part B: In the context of the problem, what would a Type I error be? A Type II error? (2 points) Part C: If the hypothesis is tested at a 1% level of significance instead of 5%, how will this affect the power of the test? (3 points) Part D: If the hypothesis is tested based on the hiring of 1,000 employees rather than 100 employees, how will this affect the power of the test?

3) A hypothesis test is conducted with a significance level of 5%. The alternative hypothesis states that more than 12% of a population is left-handed. The p-value for the test is calculated to be 0.23. Which of the following statements is correct? (2 points)

	We can conclude that more than 12% of the population is left-handed.
	We cannot conclude that more than 12% of the population is left-handed.
	We can conclude that more than 23% of the population is left-handed.
	We can conclude that exactly 23% of the population is left-handed.
	There is not enough information given to make a conclusion.