Last year, 46% of business owners gave a holiday gift to theiremployees. A survey of business owners indicated that 30% plan toprovide a holiday gift to their employees. Suppose the surveyresults are based on a sample of 60 business owners.
(a) | How many business owners in the survey plan to provide aholiday gift to their employees? |
| |
| |
(b) | Suppose the business owners in the sample do as they plan.Compute the p value for a hypothesis test that can be usedto determine if the proportion of business owners providing holidaygifts has decreased from last year. If required, round your answerto four decimal places. If your answer is zero, enter “0â€. Do notround your intermediate calculations. |
| |
| |
(c) | Using a 0.05 level of significance, would you conclude that theproportion of business owners providing gifts has decreased? |
| We - Select your answer to the null hypothesis. We - Selectyour answer conclude that the proportion of business ownersproviding gifts has decreased from 2008 to 2009. |
| |
| What is the smallest level of significance for which you coulddraw such a conclusion? If required, round your answer to fourdecimal places. If your answer is zero, enter “0â€. Do not roundyour intermediate calculations. |
| The smallest level of significance for which we could draw thisconclusion is  ; because p-value - Select your answer -α=0.05, we - Select your answer the null hypothesis. |