Question

According to a report issued by the CDC in 2013, 66.8 % of women 40 years of age and over had a mammogram within the last two years. An oncologist at the CDC would like to know if there has been a change in this percentage over the last two years. A random sample of 749 women (40 and older) is taken, and each is asked the date of their last mammogram.

• Verify that the assumptions have been satisfied to conduct a hypothesis test.
  • Random sample? Select an answer No Yes
  • The variable recorded was: Select an answer Percentage of women who have had a mammogram in the last two years Number of mammograms received Date of last mammogram Mammogram occurred in last two years
  • np =  and n(1 - p) = . Both of the values are greater than 10: Select an answer True False

It was found that 481 women in the sample had a mammogram in the last two years. Test the appropriate hypotheses using a significance level of 0.05.

• H0:H0: Select an answer p p̂  ? ≠ > = <     Ha:Ha: Select an answer p p̂  ? < > ≠  
• αα =    decision rule: reject H0H0 if probability ? ≠ < >   αα
• Test Statistic: z =   (Note: round the z-score to two decimal places - carry at least four decimal places throughout all of your calculations)
• probability =   (Note: round the probability to four decimal places)
• Decision: Select an answer Fail to reject H₀ Reject H₀
• Conclusion: At the 0.05 level, there Select an answer is is not  significant evidence to conclude the percentage of women 40 or older who have had a mammogram in the last two years is Select an answer less than greater than different than  66.8%.
  According to a report issued by the CDC in 2013, 66.8 % of women 40 years of age and over had a mammogram within the last two years. An oncologist at the CDC would like to know if there has been a change in this percentage over the last two years. A random sample of 749 women (40 and older) is taken, and each is asked the date of their last mammogram Verify that the assumptions have been satisfied to conduct a hypothesis test. Random sample? Select an answer The variable recorded was: Select an answer and n(1 - p) Both of the values are greater than 10: Select an answer o np It was found that 481 women in the sample had a mammogram in the last two years. Test the appropriate hypotheses using a significance level of 0.05. H:Select an answer H: Select an answer decision rule: reject Ho if probability ? Test Statistic: z = (Note: round the z-score to two decimal places - carry at least four decimal places throughout all of your calculations) probability Decision: Select an answer Conclusion: At the 0.05 level, there Select an answer significant evidence to conclude the percentage of women 40 or older who have had a mammogram in the last two years is Select an answe (Note: round the probability to four decimal places) wer66.8%
  

Answer 1

Jucky Page No Date Random sample DecUred The voriable gecorded. mammogram two ears. fast in £ 500 500. 332 £ 2.49 DC1-P) 749 x C1-0.668)- 248.668 True Both of values are greater than-10 Given x481 Ha P0.668 VS P E o.G68 Ho O.OS prbahil Reject Ho Decision test stotistic P-Po Po (1-Po 481 o.642189S861. r 49 P. hypothesi2ed proportion -o668

Tucky Page No.: Date: O. G42189 5861- o' 668 749 - O 0258104139 O OI207444 -14999 56 29 22 robabiliny standaTd norma tohere NaTiate PEztu 49994] - 0. 06681 + o.06681 O.1336 24 Probability Probabiliny Fai in reiect Ho ـ eع leve, there not siqnifimnt conclude + hat the percentage mho_haxe bod. Conclusion AH o.0S exidence to 40 رعمـ twomen OT tast two mammogam in years_is diferent han 66.8