ASWSBE13 5.5033. MY NOTES ll ASK YOUR TEACHER H PRACTICE ANOTHER You may need to use the appropriate technology to answer this question. The mean annual premium for automobile insurance in the United States is $1,503." Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $;.44 with a standard deviation ofs = $170. (a) Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium. A... Ho: .u >1,503 : .u 5 1,503 : .u a 1,503 :.u 1,503 {b} What is a point estimate in dollars ofthe difference between the mean annual premium in Pennsylvania and the national mean? (Use the mean annual premium in Pennsylvania minus the national mean.) 1: {cl At a : 005, test for a significant difference. Find the value of the test statistic. [Round your answer to three decimal places.) Find the pavalue. (Round your answer to four decimal places.) p-value = State your conclusion. " Reject \"n- We cannot conclude that the population mean automobile premium in Pennsylvania is lower than the national mean. Do not reject Ho' We cannot conclude that the population mean automobile premium in Pennsylvania is lower than the national mean. CL- Do not reject Ho' We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean. if; Reject \"n- We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean. Niel-vi Help" ndll