Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when win the award. Use a 0.10 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Actress's age 30 D 18 33 47 44 25 60 48 50 Actor's age 38 In this example, μg is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Hd #0 OB. Ho Hd=0 H₁: Hd=0 H₁: Hd #0 O C. Ho: Hd #0 OD. Ho: Hd=0 H₁: H<0 H₁: Hd>0 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.)

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