Aradio station in Myrtle Beach announced that at least 90% of the hotels and motels wouldbe full for the Memorial Day weekend. The station advised listeners to make reservationsin advance if they...

Aradio station in Myrtle Beach announced that at least 90% of the hotels and motels wouldbe full for the Memorial Day weekend. The station advised listeners to make reservationsin advance if they planned to be in the resort over the weekend. On Saturday night a sampleof 58 hotels and motels showed 49 with a no-vacancy sign and 9 with vacancies. Whatis your reaction to the radio station’s claim after seeing the sample evidence? Use a  .05in making the statistical test. What is the p-value?According to the federal government, 24% of workers covered by their company’s healthcare plan were not required to contribute to the premium (Statistical Abstract of the UnitedStates: 2006). A recent study found that 81 out of 400 workers sampled were not requiredto contribute to their company’s health care plan.a. Develop hypotheses that can be used to test whether the percent of workers not requiredto contribute to their company’s health care plan has declined.b. What is a point estimate of the proportion receiving free company-sponsored healthcare insurance?c. Has a statistically significant decline occurred in the proportion of workers receivingfree company-sponsored health care insurance? Use a  .05.