It is commonly believed that the mean body temperature of a healthy adult is 98.6F98.6F. You are not entirely convinced. You believe that it is not 98.6F98.6F. You collected data using 50 healthy people and found that they had a mean body temperature of 98.27F98.27F with a standard deviation of 1.07F1.07F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6F98.6F. a) Identify the null and alternative hypotheses? H0H0: ? p = p p < p > p p = < > H1H1: ? p = p p < p > p p = < > b) Identify the appropriate significance level. c) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. d) Do you reject the null hypothesis?

• We reject the null hypothesis, since the p-value is less than the significance level.
• We reject the null hypothesis, since the p-value is not less than the significance level.
• We fail to reject the null hypothesis, since the p-value is less than the significance level.
• We fail to reject the null hypothesis, since the p-value is not less than the significance level.

e) Select the statement below that best represents the conclusion that can be made.

• There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6F98.6F.
• There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6F98.6F.
• The sample data support the claim that the mean body temperature of a healthy adult is not 98.6F98.6F.
• There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6F98.6F.