Question

**1**. A Gallup poll asked 1200 randomly chosen
adults what they think the ideal number of children for a family
is. Of this sample, 53% stated that they thought 2 children is the
ideal number. Construct and interpret a 95% confidence interval for
the proportion of all US adults that think 2 children is the ideal
number.

**2.** There were 2430 Major League Baseball games
played in 2009, and the home team won the game in 53% of the games.
If we consider the games played in 2009 as a sample of all MLB
games, test to see if there is evidence, at the 1% level, that the
home team wins more than half the games.

**A. Set up your null and alternative hypothesis
B. Show evidence that we pass all of the conditions to conduct a
hypothesis test.
C. Calculate the p-value.
D.State your conclusion to the test.**

Answer #1

There were 2430 Major League Baseball games played in 2009, and
the home team won the game in 53% of the games. If we consider the
games played in 2009 as a sample of all MLB games, test to see if
there is evidence, at the 5% significance level, that the home team
wins more than half (50%) of the games.
a. Write the null and alternative hypotheses
b. Check the Central Limit Theorem
c. Set up your sampling distribution...

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"What do you think is the ideal number of children for a family
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supposing that the proportion of all adults who think that two
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What is the probability that a sample proportion p̂ falls
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"What do you think is the ideal number of children for a family
to have?" A Gallup Poll asked this question of 1016 randomly chosen
adults. Almost half (49%) thought two children was ideal.† We are
supposing that the proportion of all adults who think that two
children is ideal is p = 0.49.
What is the probability that a sample proportion p̂ falls
between 0.46 and 0.52 (that is, within ±3 percentage points of the
true p) if the...

"What do you think is the ideal number of children for a family
to have?" A Gallup Poll asked this question of 1016 randomly chosen
adults. Almost half (49%) thought two children was ideal.† We are
supposing that the proportion of all adults who think that two
children is ideal is p = 0.49.
What is the probability that a sample proportion p̂ falls
between 0.46 and 0.52 (that is, within ±3 percentage points of the
true p) if the...

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1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
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The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

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