TEACHER THER Has the consumption of red meat decreased over the last 10 years? A researcher selected hospital nutrition records for 400 subjects surveyed 10 years ago and compared the average amount...

Extracted text: TEACHER THER Has the consumption of red meat decreased over the last 10 years? A researcher selected hospital nutrition records for 400 subjects surveyed 10 years ago and compared the average amount of beef consumed per year to amounts consumed by an equal number of subjects interviewed this year. The data are given in the table. Ten Years Ago This Year Sample Mean 73 63 Sample Standard Deviation 30 28 (a) Do the data present sufficient evidence to indicate that per-capita beef consumption has decreased over the last 10 years? Test at the 1% level of significance. State the null and alternative hypotheses. (Use u1 for ten years ago and u, for this year.) O Ho: (H, – H2) = 0 versus H: (H1 – H2) # 0 - O Ho: (H, - µ,) < 0="" versus="" ha:="" (h1="" –="" h2)=""> 0 O Ho: (H1 – H2) = 0 versus H3: (H1 – H2) > 0 O Ho: (H1 – 42) + 0 versus H3: (µ1 – H2) = 0 O Ho: (H1 – H2) = 0 versus H,: (H1 - H2) < 0 find the test statistic and the p-value. (round your test statistic to two decimal places and your p-value to four decimal places.) z = p-value = state your conclusion. the p-value is greater than alpha so h, is not rejected. there is sufficient evidence to indicate that that per- capita beef consumption has decreased in the last 10 years o the p-value is less than alpha so ho is rejected. there is insufficient evidence to indicate that that per-capita beef consumption has decreased in the last 10 years the p-value is greater than alpha so h, is not rejected. there is insufficient evidence to indicate that that per-capita beef consumption has decreased in the last 10 years o the p-value is less than alpha so h, is rejected. there is sufficient evidence to indicate that that per-capita beef consumption has decreased in the last 10 years (b) find a 99% lower confidence bound for the difference (ten years ago - this year) in the average per-capita beef consumptions for the two groups. (round your answer to two decimal places.) 0="" find="" the="" test="" statistic="" and="" the="" p-value.="" (round="" your="" test="" statistic="" to="" two="" decimal="" places="" and="" your="" p-value="" to="" four="" decimal="" places.)="" z="p-value" =="" state="" your="" conclusion.="" the="" p-value="" is="" greater="" than="" alpha="" so="" h,="" is="" not="" rejected.="" there="" is="" sufficient="" evidence="" to="" indicate="" that="" that="" per-="" capita="" beef="" consumption="" has="" decreased="" in="" the="" last="" 10="" years="" o="" the="" p-value="" is="" less="" than="" alpha="" so="" ho="" is="" rejected.="" there="" is="" insufficient="" evidence="" to="" indicate="" that="" that="" per-capita="" beef="" consumption="" has="" decreased="" in="" the="" last="" 10="" years="" the="" p-value="" is="" greater="" than="" alpha="" so="" h,="" is="" not="" rejected.="" there="" is="" insufficient="" evidence="" to="" indicate="" that="" that="" per-capita="" beef="" consumption="" has="" decreased="" in="" the="" last="" 10="" years="" o="" the="" p-value="" is="" less="" than="" alpha="" so="" h,="" is="" rejected.="" there="" is="" sufficient="" evidence="" to="" indicate="" that="" that="" per-capita="" beef="" consumption="" has="" decreased="" in="" the="" last="" 10="" years="" (b)="" find="" a="" 99%="" lower="" confidence="" bound="" for="" the="" difference="" (ten="" years="" ago="" -="" this="" year)="" in="" the="" average="" per-capita="" beef="" consumptions="" for="" the="" two="" groups.="" (round="" your="" answer="" to="" two="" decimal="">