Madan Mohan Malaviya University of TechnologyBA 265 The Center for Disease Control and Prevention believes that regular screening between the ages of 50 to 75 years can prevent colorectal cancer

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Madan Mohan Malaviya University of TechnologyBA 265

The Center for Disease Control and Prevention believes that regular screening between the ages of 50 to 75 years can prevent colorectal cancer. If the report was based on the assumption that 50% of the population between the age group of 50–75 is aware of the test and that the Center is taking measures to spread the awareness. However, it was found in a survey that not much people are aware of this in California. The sample size of the survey was 500 where people in the age group of 50–75 had been questioned and it was found that only 235 people were aware of the test and went for screening once a year.

1. State the null and the alternate hypothesis.
2. At 0.05 level of significance, try to determine whether there is evidence that the proportion of the people aware of this test is greater than 50%.
3. Assume that the sample size for the above survey is 100. At the 0.05 level of significance, try to determine whether there is evidence that the proportion of the people aware of this test is greater than 50%.