In: Statistics and Probability
Perform the hypothesis tests below, show your steps and calculations. Identify the distribution that you will be using for each one. Please remember to draw your conclusions and interpret your decisions
1-According to the National Coalition on Health Care, the mean annual premium for an employer health plan covering a family of four cost $11,500 in 2007. A random sample of 100 families of four taken this year showed a mean annual premium of $11,750. Assuming $1500 = , test whether the mean annual premium has increased, using a 0.05 significant level. Use the p-value method
2- Health issues due to being overweight affect all age groups. Of children and adolescents 6 – 11 years of age, 18.8% are found to be overweight. A school district randomly sampled 130 students in this age group and found that 20 were considered overweight. At the 90% level of confidence, is this less than the national proportion? Use the p-value method.