A matched pairs experiment compares the taste of instant coffee with fresh-brewed coffee. Each subject tastes...

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A matched pairs experiment compares the taste of instant coffee with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 40 subjects who participate in the study, 14 prefer the instant coffee and the other 26 prefer fresh-brewed. Take p to be the proportion of the population that prefers fresh-brewed coffee. You might find a table of critical values useful. You can use table A or the bottom row of table D, but table D is easier. Find a 95% confidence interval for p. 95% CI: Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the z statistic and its P-value. Give z to two decimals and P to four. z statistic: P-value: State the decision using a significance level of a = 0.05 and give a practical conclusion. Although there is evidence that more than 50% of people prefer fresh-brewed coffee (P < 0.05), since the test is one-tailed, it is possible that the size of the difference is small, since the lower limit of the confidence interval is approximately 0.50. Because there is evidence of no difference from 50% of people preferring fresh-brewed coffee (P > 0.05), it is possible that the size of the difference is small, since the lower limit of the confidence interval is approximately 0.50. Although there is evidence that more than 50% of people prefer fresh-brewed coffee(P < 0.05), since the test is one-tailed, it is possible that the size of the difference is large, since the lower limit of the confidence interval is approximately 0.50. Although there is evidence that less than 50% of people prefer fresh-brewed coffee(P < 0.05), since the test is one-tailed, it is possible that the size of the difference is small, since the lower limit of the confidence interval is approximately 0.50. A matched pairs experiment compares the taste of instant coffee with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 40 subjects who participate in the study, 14 prefer the instant coffee and the other 26 prefer fresh-brewed. Take p to be the proportion of the population that prefers fresh-brewed coffee. You might find a table of critical values useful. You can use table A or the bottom row of table D, but table D is easier. Find a 95% confidence interval for p. 95% CI: Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the z statistic and its P-value. Give z to two decimals and P to four. z statistic: P-value: State the decision using a significance level of a = 0.05 and give a practical conclusion. Although there is evidence that more than 50% of people prefer fresh-brewed coffee (P < 0.05), since the test is one-tailed, it is possible that the size of the difference is small, since the lower limit of the confidence interval is approximately 0.50. Because there is evidence of no difference from 50% of people preferring fresh-brewed coffee (P > 0.05), it is possible that the size of the difference is small, since the lower limit of the confidence interval is approximately 0.50. Although there is evidence that more than 50% of people prefer fresh-brewed coffee(P < 0.05), since the test is one-tailed, it is possible that the size of the difference is large, since the lower limit of the confidence interval is approximately 0.50. Although there is evidence that less than 50% of people prefer fresh-brewed coffee(P < 0.05), since the test is one-tailed, it is possible that the size of the difference is small, since the lower limit of the confidence interval is approximately 0.50.

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95 Confidence Interval for p To find the confidence interval for the population proportion p we can ... View the full answer