Question
The data for this problem consists of an edited version of the case's Exhibit 2, included in the 'exhibit 2' worksheet of the 'Jade Shampoo
The data for this problem consists of an edited version of the case's Exhibit 2, included in the 'exhibit 2' worksheet of the 'Jade Shampoo raw data' Excel file. Note that, in the edited table, the counts of respondents who answered 'no preference' for any of the four attributes have been removed, so that the total count for each attribute is now less than 100.
The following questions are based on the product-use test results for the cleaning attribute of the Jade shampoo new dispenser cap (flip-top) vs. the current cap (twist-off) described in Exhibit 2 of the case study.
Attribute | Flip-top | Twist-off | Total | |
Overall | 55 | 37 | 92 | |
Convenience | 76 | 19 | 95 | |
Cleaning | 21 | 19 | 40 | |
Manageability | 23 | 25 | 48 |
Do you have enough evidence to conclude that the new dispenser cap is believed to be easier to keep clean than the current cap?
find:
2a. State the null and alternative hypotheses.
2b. What is the sample proportion of respondents who believe that the new dispenser cap is easier to keep clean than the current cap? (Round your answer to three decimal places.)
2c. What is the standard error of the sampling distribution? (Round your answer to four decimal places.)
2d. What is the value of the test statistic? (Round your answer to two decimal places.)
2e.What is the p-value? (Round your answer to four decimal places.)
2g. Build an estimate of the proportion of customers who believe that the new dispenser cap is easier to keep clean than the current cap,at a 90% confidence level. Enter the answers as percentages, rounded to one decimal place.
We are 90% confident that between % and % of customers believe that thenew dispenser cap is easier to keep clean than the current cap.
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