According to the federal government, 24% of workers covered by their company\'s health care plan were not required to contribute to the premium (Statistical Abstract of the United States: 2006). A recent study found that 81 out of 400 workers sampled were not required to contribute to their company\'s health care plan. a.) Develop hypotheses that can be used to test whether the percent of workers not required to contribute to their company\'s health care plan has declined. H0: greater than or equal to .24 HA: less than .24 b.) What is a point estimate of the proportion of workers who are not required to contribute to their company\'s health care plan (to 4 decimals)? .2025 c.) Has a statistically significant decline occurred in the proportion of workers who are not required to contribute to their company\'s health care plan? Use ? = 05. Calculate the value of the test statistic (to 2 decimals). What is the p-value (to 4 decimals)? Solution H0: p 0.24 Ha: p <0.24 for n=400, population mean,.

1. According to the federal government, 24% of workers covered by their company's health care
plan were not required to contribute to the premium (Statistical Abstract of the United States:
2006). A recent study found that 81 out of 400 workers sampled were not required to contribute
to their company's health care plan.
a.) Develop hypotheses that can be used to test whether the percent of workers not required to
contribute to their company's health care plan has declined.
H0: greater than or equal to .24
HA: less than .24
b.) What is a point estimate of the proportion of workers who are not required to contribute to
their company's health care plan (to 4 decimals)?
.2025
c.) Has a statistically significant decline occurred in the proportion of workers who are not
required to contribute to their company's health care plan? Use ? = 05.
Calculate the value of the test statistic (to 2 decimals).
What is the p-value (to 4 decimals)?
Solution
H0: p 0.24
Ha: p <0.24
for n=400, population mean,