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 36 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 10% level of significance

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

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

Is the national crime rate really going down? Some sociologists say
yes! They say that the reason for the decline in crime rates in the
1980s and 1990s is demographics. It seems that the population is
aging, and older people commit fewer crimes. According to the FBI
and the Justice Department, 70% of all arrests are of males aged 15
to 34 years†. Suppose you are a sociologist in Rock Springs,
Wyoming, and a random sample of police files showed that of 38
arrests last month, 23 were of males aged 15 to 34 years. Use a 5%
level of significance to test the claim that the population
proportion of such arrests in Rock Springs is different from
70%

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

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

Answer #1

1)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p = 0.67

Alternative Hypothesis, Ha: p < 0.67

Test statistic,

z = (pcap - p)/sqrt(p*(1-p)/n)

z = (0.5833 - 0.67)/sqrt(0.67*(1-0.67)/36)

z = -1.11

P-value Approach

P-value = 0.1335

2)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p = 0.7

Alternative Hypothesis, Ha: p ≠ 0.7

Test statistic,

z = (pcap - p)/sqrt(p*(1-p)/n)

z = (0.6053 - 0.7)/sqrt(0.7*(1-0.7)/38)

z = -1.27

P-value Approach

P-value = 0.2041

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...

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?...

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 <...

Is the national crime rate really going down? Some sociologists
say yes! They say that the reason for the decline in crime rates in
the 1980s and 1990s is demographics. It seems that the population
is aging, and older people commit fewer crimes. According to the
FBI and the Justice Department, 70% of all arrests are of males
aged 15 to 34 years†. Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed...

Is the national crime rate really going down? Some sociologists
say yes! They say that the reason for the decline in crime rates in
the 1980s and 1990s is demographics. It seems that the population
is aging, and older people commit fewer crimes. According to the
FBI and the Justice Department, 70% of all arrests are of males
aged 15 to 34 years†. Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed...

Is the national crime rate really going down? Some sociologists
say yes! They say that the reason for the decline in crime rates in
the 1980s and 1990s is demographics. It seems that the population
is aging, and older people commit fewer crimes. According to the
FBI and the Justice Department, 70% of all arrests are of males
aged 15 to 34 years†. Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed...

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 ≠...

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