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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 23% of wine consumers found this acceptable. LAUSE SALT (a) Using a significance level of 0.10, what would you recommend to the winery? State the appropriate null and alternative hypotheses. Ho: P < 0.23 H: P = 0.23 Ho: P = 0.23 H: P = 0.23 Ho:p> 0.23 H: P = 0.23 O Ho: P = 0.23 H₂: P < 0.23 Ho: P = 0.23 H:p> 0.23 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.) x X Z= P-value = State the conclusion in the problem context. Reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. Reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. Do not reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. O Do not reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable.

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 23% of wine consumers found this acceptable. LAUSE SALT (a) Using a significance level of 0.10, what would you recommend to the winery? State the appropriate null and alternative hypotheses. Ho: P < 0.23 H: P = 0.23 Ho: P = 0.23 H: P = 0.23 Ho:p> 0.23 H: P = 0.23 O Ho: P = 0.23 H₂: P < 0.23 Ho: P = 0.23 H:p> 0.23 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.) x X Z= P-value = State the conclusion in the problem context. Reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. Reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. Do not reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. O Do not reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 23% of wine consumers found this acceptable. USE SALT (a) Using a significance level of 0.10, what would you recommend to the winery? State the appropriate null and alternative hypotheses. Ho: P < 0.23 H₂: P = 0.23 Ho: P = 0.23 H₂: P = 0.23 Ho: p > 0.23 H₂: P = 0.23 O Ho: P = 0.23 H₂: P < 0.23 Ho: P = 0.23 H₂: p > 0.23 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.) X X z = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. Reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. O Do not reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. O Do not reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable.
Transcribed Image Text: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 23% of wine consumers found this acceptable. USE SALT (a) Using a significance level of 0.10, what would you recommend to the winery? State the appropriate null and alternative hypotheses. Ho: P < 0.23 H₂: P = 0.23 Ho: P = 0.23 H₂: P = 0.23 Ho: p > 0.23 H₂: P = 0.23 O Ho: P = 0.23 H₂: P < 0.23 Ho: P = 0.23 H₂: p > 0.23 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.) X X z = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. Reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. O Do not reject the null hypothesis. There is sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable. O Do not reject the null hypothesis. There is not sufficient evidence to suggest that less than 23% of all customers find screw tops acceptable.
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