Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...

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Women athletes at the a certain university have a long-termgraduation rate of 67%. Over the past several years, a randomsample of 40 women athletes at the school showed that 21 eventuallygraduated. Does this indicate that the population proportion ofwomen athletes who graduate from the university is now less than67%? Use a 1% level of significance.
(a) What is the level of significance?

State the null and alternate hypotheses.
H₀: p < 0.67;H₁: p = 0.67H₀:p = 0.67; H₁: p >0.67Â Â Â Â H₀: p =0.67; H₁: p â‰ 0.67H₀: p = 0.67;H₁: p < 0.67

(b) What sampling distribution will you use?
The standard normal, since np > 5 and nq> 5.The Student's t, since np > 5 andnq > 5.Â Â Â Â The Student'st, since np < 5 and nq < 5.Thestandard normal, since np < 5 and nq <5.

What is the value of the sample test statistic? (Round your answerto two decimal places.)

(c) Find the P-value of the test statistic. (Round youranswer to four decimal places.)

Sketch the sampling distribution and show the area corresponding tothe P-value.

Answer & Explanation Solved by verified expert

4.3 Ratings (779 Votes)

a What is the level of significanceLevel of significance 1 001State the null and alternate hypothesesH0 p 067 H1 p 5 nq 5The standard normal See Answer

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