The 5-year survival rate in the US for women with breast cancer was approximately 90.6% in 2008. A researcher wants to evaluate whether or not the survival rate has significantly increased since then. He selects a sample of 100 women diagnosed with breast cancer in 2012, and finds that 93 were still alive in 2017. Use this information to answer questions 1-4.
Conduct the following hypothesis test:
- A one-tail Z-test for a one-sample proportion at the 90% confidence level
- with Null Hypothesis that the breast cancer survival rate is equal to 90.6%
- and with Alternate Hypothesis that the breast cancer survival rate is greater than 90.6%.
1. Identify the correct critical value, Zα. (
2. Calculate the test statistic, Ztest.
3. Calculate P(Z > Ztest).
Compare the test statistic to the critical value. Compare P(Z > Ztest) to α. Compare the sample proportion to the null hypothesis proportion. Is there a statistically significant difference to suggest that the breast cancer survival rate has increased? Is there a practically significant difference? Explain your decisions and Justify your claims