The article "Effects of Bottle Closure Type on Consumer Perception of Wine Quality"† reported that in a sample of 106 wine consumers, 22 thought that screw tops were an acceptable substitute for natural corks. Suppose a particular winery decided to use screw tops for one of its wines unless there was strong evidence to suggest that fewer than 25% of wine consumers found this acceptable. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=  P-value=

The national percentage of automobile accident fatalities that are alcohol related is 39%. In a random sample of 96 automobile accident fatalities in the state of New York, 44 were alcohol related. Is this sufficient evidence to say that new York has a higher percentage of alcohol related automobile fatalities? a. Perform the appropriate test of hypothesis and paste the session window output below. b. What is the value of the test statistic? c. At a = .10, what is your decision?

A pollof 2000 randomly selected students in grades 6 through 8 was conducted and found that 48% enjoy playing sports. Is the 48% result a statistic or a parameter?

Use the information below, gathered from 1000 students from a small college who disclosed their age as well as their preference for type of instruction, to determine whether or not there is an association between age and preferred type of instruction. Write your hypotheses, perform the test, find the test statistic, the p-value, and state your conclusion. Assume a significance level of � = 0.01.       AGE       18 & under 19-25 26-35 36-45 65 or Older online 43 56 26 20 20 Scheduled Zoom 48 75 34 26 20 Hybrid Zoom 82 19 88 83 59 Face to Face 27 50 52 71 101 a) Write your hypotheses.b) Use your calculator to determine the test statistic and p-value.c) Using the significance level provided, write an appropriate conclusion

The accompanying table contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 16 oz of soda. Use the sign test and a 0.01 significance level to test the claim that cans of this soda are filled so that the median amount is 16 oz. If the median is not 16 oz, are consumers being cheated? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median volume ≤ 16 oz H₁: Median volume = 16 oz C. Ho: Median volume = 16 oz H₁: Median volume # 16 oz Find the test statistic. Test statistic (Round to three decimal places as needed.) = More Info 15.6 16.0 16.1 16.1 407 15.7 (…) 16.1 15.9 19:3 15.8 16.5 15.8 15.7 15.9 OB. Ho: Median volume ≤ 16 oz H₁: Median volume > 16 oz O D. Ho: Median volume = 16 oz H₁: Median volume < 16 oz Volume (in ounces) 15.7 15.5 15.7 15.7 15.8 420 15.9 103 16.3 15.7 15.7 16.1 16.3 15.8 15.7 15.6 15.5 15.6 15.5 20 16.0 400 15.8 19:0 15.6 15.6 15.5 16.4 15.9 D - X

According to a survey conducted by the Association for Dressing and Sauces, 85% of American adults eat salad at least once a week. A nutritionist suspect that the percentage is higher that this. She conducts a survey of 200 American adults an finds that 171 of them eat salad at least once a week. Conduct the appropriate test that addresses the nutritionist's suspicions. Use the a = 0. 1 level of significance. What is the p-value? 0.85 0.855 0.1980 0.4215

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 102.13, y = 101.35, r= 0.927, P-value = 0.000, and y = 2.05 + 0.97x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 103? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r The best predicted value of y is (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r a = 0.05 a = 0.01 NOTE: To test Ho: p=0 Jagainst H,: p#0, reject H, lif the absolute value of r is greater than the critical value in the table. 4. 0.950 0.990 0.878 0.959 6 0.811 0.917 0.754 0.875 8. 0.707 0.834 0.666 0.632 0.602 9 0.798 10 0.765 11 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 0.468 0.456 18 0.590 19 0.575…

A professional marketing survey involves product recognition in New York and California. Of 558 New York residents surveyed, 193 knew the product while 179 out of 614 Californians knew the product. 1. Test the claim that the recognition rates are greater in New York. 2. In which state does the product need the most help with name recognition? Use the given data to compare mean age of residents in Seaside and Marina. Sample Data * = 43.2 yr s = 4.7 yr n = 97 Seaside Before After 1. Test the claim that the mean age of seaside residents is equal to the mean age of Marina residents. 2. How would the result change if we use a = 0.01? Matched Pairs: Write the alternative hypothesis H₁, for each claim: 1. New engine management software will increase the gas mileage in your car. 2. My coaching will reduce your golf score. Difference An instructor gives a test before and after a lesson with these results from randomly selected students Before and After Data 54 70 = 61 Marina 56 s = 6.7 year…