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STAT 200

Question 1

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before 5.5 7.6 6.2 13.1 8.5 11.0 3.6 2.0 After 6.9 2.9 7.8 8.9 8.1 6.2 3.1 2.8 . . . Construct a 95% confidence interval for the mean of the "before - after" differences. 0.22 O D. Ho: p = 0.22 Hy : p #0.22 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22% O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22% O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22% O D. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22%A random sample of T40 births in New York State included 350 boys, and that sample is to be used for a test of the common belief that the proportion of male births in the population is equal to [1.512. Complete parts {a} through {c}. ::: a. In testing the common belief that the proportion of male babies is equal to [1.512, identify.r the values ofp and p. 5=D FD [Round to three decimal places as needed.) b. For random samples of size Trill, what sample proportions of male births are at least as extreme as the sample 350 proportion of m? Select the correct choice below and ll in the answer box|[es} within your choice. [Round to three decimal places as needed.) 0 151- Those that are less than or equal to D. D 3- Those that are less than or equal to D and those that are greater than or equal to D. C} {3- Those that are both greaterthan or equal to D and less than or equal to D. D 5- Those that are greater than or equal to D. c. In using the method of randomization with 1000 resamples, it is found that 186 of them have sample proportions 360 that are at least as extreme as 740- Using a significance level of 0.01, what should be concluded about the claim that the proportion of male births is equal to 0.512? There sufficient evidence to the claim that the proportion of male births is equal to 0.512