In the past, 30% of a country club's members brought guests to play golf sometime during the year. Last year, the club initiated a new program designed to encourage members to bring more guests to play golf. In a sample of 95 members, 34 brought guests to play golf after the program was initiated. When testing the hypothesis that the new program has increased the proportion of members bringing out guests (using a 5% level of significance), what is the null and alternative hypothesis?

In a study of 817 randomly selected medical malpractice​ lawsuits, it was found that 495 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be​ conducted?   A. H0: p=0.5 H1: p≠0.5   B. H0: p=0.5 H1: p>0.5   C. H0: p=0.5 H1: p<0.5   D. H0: p<0.5 H1: p=0.5   E. H0: p>0.5 H1: p=0.5   F. H0: p≠0.5 H1: p=0.5 What is the test​ statistic?   z=nothing ​(Round to two decimal places as​ needed.) What is the​ P-   ​P-value= ​(Round to three decimal places as​ needed.)

Z?

Example: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 480 were in favor and 394 were opposed. A politician claims that people don’t really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim? Following the hypothesis test steps, let’s first identify the claim and the null and alternative hypotheses: For this example, the original claim is that the proportion of the subjects who responded in favor is equal to 0.5 (half – since the politician compared their responses as equivalent to a coin toss). The symbolic form of the politician’s claim can be expressed as p = 0.5. Also notice…