Show all your handwritten work in the space provided to receive credit. You may use a table of values, a graphing calculator, Microsoft Excel, and/or online statistics calculators like the ones shown in lecture, but make sure to indicate which method you use and show as much work as possible (such as drawing a picture of the distribution).
1. (8 points) The Food and Drug Administration (FDA) is conducting a study to determine whether a new drug is safe and effective. The null hypothesis is H0: the drug is safe and effective. The alternative hypothesis is Hx: the drug is not safe and effective. State the Type I and Type II errors.
2. (8 points) A tutoring company claims that their services increase the chances of passing the CBEST exam. The results for a test of a single population proportion are as follows.
H0: p = 0.69 Hx: p > 0.^ a = 0.05 P-value = 0.008
Interpret the results and state the conclusion in simple, non-technical terms.
Read this carefully: For the following scenarios, conduct a full hypothesis test where you write down all relevant statistics and parameters, check the conditions of the CLT for normality, state the null and alternative hypothesis and which type of test is being used, calculate the test statistic, draw and label a picture of the bell curve, make a decision based on the classical or P-value approach, and write a conclusion in a complete sentence.