Question

Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 58 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 191 and the sample standard deviation was 87. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ο Η. Holl = 153 Ha: L # 153 O Ho: u = 153 Ha: [ > 153 O Ho: 4 = 153 Ha: s 153 O Ho: 4 = 153 Ha: 4 < 153 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 = State the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. O Reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. O Do not reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. O Reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. You may need to use the annronriate table in the Annendiy of Tables to answer this question

Answer 1

The statistical software output for this problem is :

One sample Z summary hypothesis test: u: Mean of population Ho : u = 153 HAU> 153 Standard deviation = 87 Hypothesis test results: Mean n Sample Mean Std. Err. Z-Stat P-value 58 191 11.42366 3.3264296 0.0004

Option B) is correct.

Test statistics = 3.33

P-value = 0.0004

Option D) is correct .