Do you have a great deal of confidence in the advice given to you by your medical doctor? About 45% of all adult Americans claim they do have a great deal of confidence in their MDs. Suppose a random sample of n = 32 adults in a health insurance program are asked about their confidence in the medical advice their doctors give.
(a) Is the normal approximation to the proportion ^p = r/n valid?
(b) Find the values of μ^p and σ^p .
Use the following steps (i)–(v) for all hypothesis tests:
(i) What is the level of significance? State the null and alternate hypotheses.
(ii) Requirements What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?
(iii) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value
(iv) Based on your answers in parts (i)–(iii), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
(v) Your conclusion in the context of the application.