identifying test statistic P Value Constructing a 90% confidence interval The fo
ID: 2947060 • Letter: I
Question
identifying test statistic
P Value
Constructing a 90% confidence interval
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 25 29 31 26 3327 28 39 32 Actor (years) 63 39 35 38 28 35 50 35 34 38 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors) In this example, ?d 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? Ho: Hd0 year(s) H1: Hd 0 year(s) Type integers or decimals. Do not round.) Identify the test statistic. tRound to two decimal places as needed.)Explanation / Answer
The statistical software output for this problem is:
Paired T hypothesis test:
?D = ?1 - ?2 : Mean of the difference between Actress (Years) and Actor (Years)
H0 : ?D = 0
HA : ?D < 0
Hypothesis test results:
90% confidence interval results:
Hence,
Test statistic = -2.47
p - Value = 0.0178
90% confidence interval: (-17.075, -2.525)
Difference Mean Std. Err. DF T-Stat P-value Actress (Years) - Actor (Years) -9.8 3.968767 9 -2.4692808 0.0178Related Questions
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