In a program designed to help patients stop smoking, 195 patients were given sustained care, and 83.1% of them were no longer smoking after one month. Use a 0.01 significance level to test the claim that 79% of patients stop smoking when given sustained care. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of patients who would no longer be smoking after one month when given sustained care. Identify the null and alternative hypotheses. Ho: P H: p (Type integers or decimals. Do not round.) Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. There sufficient evidence to patients stop smoking when given sustained care. the claim that 79% of In a large clinical trial, 394,494 children were randomly assigned to two groups. The treatment group consisted of 196,394 children given a vaccine for a certain disease, and 37 of those children developed the disease. The other 198,100 children were given a placebo, and 133 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n, p. 1. n2, P2, 92. p, and q. P1 n = = (Type an integer or a decimal rounded to eight decimal places as needed.) = (Type an integer or a decimal rounded to eight decimal places as needed.) 12 = (Type an integer or a decimal rounded to eight decimal places as needed.) 92 = (Type an integer or a decimal rounded to eight decimal places as needed.) p = (Type an integer or a decimal rounded to eight decimal places as needed.) q= (Type an Integer or a decimal rounded to eight decimal places as needed.)