Question

Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 41 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance.

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

Find the *P*-value of the test statistic. (Round your
answer to four decimal places.)

Answer #1

Solution :

This is the left tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.67

H_{a} : p < 0.67

n = 41

x = 23

= x / n = 23 / 41 = 0.561

P_{0} = 0.67

1 - P_{0} = 1 - 0.67 = 0.33

z = - P_{0} / [P_{0 *} (1 -
P_{0} ) / n]

= 0.561 - 0.67 / [(0.67 * 0.33) / 41]

= -1.485

Test statistic = -1.49

P(z < -1.485) = 0.0688

P-value = 0.0688

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 40 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
(b) State the null and alternate hypotheses.
(c) What sampling distribution will you...

women athletes at a certain university have a long-term
graduation rate of 67%. over the past several years, a random
sample of 38 women athletes at the school showed that 23 eventually
graduated. Does that indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
State the null and alternate hypotheses.
What sampling distribution will you use?
What is the value of the sample test statistic?...

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Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 40 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 1% level of significance.
What is the value of the sample test statistic? (Round your
answer to two decimal places.)
(c) Find the P-value...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 39 women athletes at the school showed that 22 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p <...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 38 women athletes at the school showed that 19 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? 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 ≠...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 40 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? 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 >...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 39 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p ≠...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 38 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? 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 >...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 37 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
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