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 791 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 Number of mammograms received Date of last mammogram Percentage of women who have had a mammogram in the last two years 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 523 women in the sample had a mammogram in the last two years. Test the appropriate hypotheses using a significance level of 0.01.

• H0: ____________________ Ha:____________________
• = ________________ decision rule: ___________________
• 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: ____________________
• Conclusion: At the 0.01 level, there_______________ significant evidence to conclude the percentage of women 40 or older who have had a mammogram in the last two years is ______________________ than 66.8%.