Question
In: Statistics and Probability
A coach claims that more than 65% of professional soccer players started playing soccer before the...
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A coach claims that more than 65% of professional soccer players started playing soccer before the age of 7. In a survey 80 randomly selected professional soccer players, they found that 59 started playing soccer before the age of 7. Test the coach’s claim at a 10% significance level.
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a) Define the parameter and random variable of interest.
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b) State the null and alternative hypotheses, and identify the claim.
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c) Determine the distribution of the test statistic. (Check the relevant criteria.)
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d) Calculate the test statistic.
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e) Find the p-value.
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f) State your decision.
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g) State your conclusion
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Solutions
orchestra answered 2 years agoRelated Solutions
A coach claims that more than 65% of professional soccer players started playing soccer before the...
A coach claims that more than 65% of professional soccer players
started playing soccer before the age of 7. In a survey 80 randomly
selected professional soccer players, they found that 59 started
playing soccer before the age of 7. Test the coach’s claim at a 10%
significance level.
a) Define the parameter and random variable of interest.
b) State the null and alternative hypotheses, and identify the
claim.
c) Determine the distribution of the test statistic. (Check the
relevant...
A football coach claims that players can increase their strength by taking a certain supplement. To...
A football coach claims that players can increase their strength
by taking a certain supplement. To test the theory, the coach
randomly selects 9 athletes and gives them a strength test using a
bench press. The results are listed below. Thirty days later, after
regular training using the supplement, they are tested again. The
new results are listed below. Test the claim that the supplement is
effective in increasing the athletes' strength. Use α = 0.05.
Assume that the distribution...
A football coach claims that players can increase their strength by taking a certain supplement. To...
A football coach claims that players can increase their strength
by taking a certain supplement. To test the
theory, the coach randomly selects 9 athletes and gives them a
strength test using a bench press. The results are
listed below. Thirty days later, after regular training using the
supplement, they are tested again. The new
results are listed below. Test the claim that the supplement is
effective in increasing the athletesʹ strength.
Use α= 0.05. Assume that the distribution is...
The data for this section comes from data.world, and represents professional soccer players (data is a...
The data for this section comes from data.world, and represents
professional soccer players (data is a few years old, I think from
2016)
```{r}
players <-
read.csv('https://s3.amazonaws.com/douglas2/data/players.csv',
stringsAsFactors = F)
```
1. Without splitting the club variable, determine how many of
the 7,282 players are Forwards.
```{r}
# Your Solution Here
substring(players$club, 1, 7) [substring(players$club, 1,
7)=='Forwards']
2. Create separate columns for position and club (information
currently found in club column)
```{r}
# Your Solution Here
3. Construct a barplot...
A professional sports league claims that the average age of players in the league is 28...
A professional sports league claims that the average age of
players in the league is 28 years old. A random sample of 20
players in the league was selected, and their ages are recorded in
the following table.
Use Excel to test whether the mean player age is different from
28 years old, and then draw a conclusion in the context of the
problem. Use α=0.05.
Age (years)
32
28
29
32
33
28
31
28
30
28
29
34...
A humane society claims that less than 65% of households in a certain country own a...
A humane society claims that less than 65% of households in a
certain country own a pet. In a random sample of 600 households in
that country, 378 say they own a pet. At alphaequals0.05, is
there enough evidence to support the society's claim? Complete
parts (a) through (c) below. (a) Identify the claim and state
Upper H 0 and Upper H Subscript a. Identify the claim in this
scenario. Select the correct choice below and fill in the answer...
Explain why liability claims are more difficult to adjust than property claims.
Explain why liability claims are more difficult to adjust than
property claims.
3) A researcher is interested in studying whether or not baseball players are more superstitious than...
3) A researcher is interested in studying whether or not
baseball players are more superstitious than people in general. The
population has an average score of 4.3 (SD = 1.9) on the
superstitious scale. A sample of 36 baseball players scored an
average of 4.7 on the superstitious scale. What does the
distribution of sample means for this scenario consist of? What
would we conclude and explain your decision using the distribution
of sample means in your explanation.
a) A researcher wants to test if boys spend more time playing sports on average than...
a) A researcher wants to test if boys spend more time playing
sports on average than girls. Data is collected, resulting in the
table below. It is known that the times for sports have a normal
distribution in general.
Group
n
Average number of
hours
SD
Boy
35
5.2
3.3
Girl
25
3.5
5
Compute the test statistic that is corresponding to the test in
the question 9.
Round your answer to two decimal digits.
b)
Let the significance level...
A Realtor claims that no more than half of the homes he sells are sold for...
A Realtor claims that no more than half of the homes he sells
are sold for less than the asking price. When reviewing a random
sample of 16 sales over the past year, he found that actually 13
were sold below the asking price.
(a) The assumption of normality is
justified.
Yes
No
(b-1) Calculate a p-value for the
observed sample outcome, using the normal distribution.
(Round your z-value to 2 decimal places. Round your answer
to 4 decimal places.)...
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