Freedom of Religion A Gallup poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of religion was secure or threatened in the country today. In 2016, 2089 out of 3072 students surveyed said that freedom of religion was secure or very secure. In 2017, 1929 out of 3014 students felt this way. a. Determine whether the proportion of college students who believe that freedom of religion is secure or very secure in this country has changed from 2016. Use a significance level of 0.05. b. Use the sample data to construct a 95 % confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?
Freedom of Religion A Gallup poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of religion was secure or threatened in the country today. In 2016, 2089 out of 3072 students surveyed said that freedom of religion was secure or very secure. In 2017, 1929 out of 3014 students felt this way. a. Determine whether the proportion of college students who believe that freedom of religion is secure or very secure in this country has changed from 2016. Use a significance level of 0.05. b. Use the sample data to construct a 95 % confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?
Solution Summary: The author determines whether the proportion of college students who believe that freedom of religion is secure or very secure in the country has changed from 2016.
Freedom of Religion A Gallup poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of religion was secure or threatened in the country today. In 2016, 2089 out of 3072 students surveyed said that freedom of religion was secure or very secure. In 2017, 1929 out of 3014 students felt this way.
a. Determine whether the proportion of college students who believe that freedom of religion is secure or very secure in this country has changed from 2016. Use a significance level of
0.05.
b. Use the sample data to construct a
95
%
confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?
Morningstar tracks the total return for a large number of mutual funds. The following table shows the total return and the number of funds for four categories of mutual funds.
Click on the datafile logo to reference the data.
DATA file
Type of Fund
Domestic Equity
Number of Funds
Total Return (%)
9191
4.65
International Equity
2621
18.15
Hybrid
1419
2900
11.36
6.75
Specialty Stock
a. Using the number of funds as weights, compute the weighted average total return for these mutual funds. (to 2 decimals)
%
b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return in part (a)? Discuss. What else might be used for weights?
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c. Suppose you invested $10,000 in this group of mutual funds and diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock…
The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided.
Days to
Maturity
20
Dollar Value
($ millions)
20
12
30
7
10
5
6
15
10
Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds (to 1 decimal).
days
c. What are the first and third quartiles?
First Quartiles (to 1 decimals)
Third Quartiles (to 4 decimals)
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Which companies spend the most money on advertising? Business Insider maintains a list of the top-spending companies. In 2014, Procter & Gamble spent more than any other company, a whopping $5 billion. In second place was Comcast, which spent $3.08 billion (Business Insider website, December 2014). The top 12 companies and
the amount each spent on advertising in billions of dollars are as follows.
Click on the datafile logo to reference the data.
DATA file
Company
Procter & Gamble
Comcast
Advertising
($billions)
$5.00
3.08
2.91
Company
American Express
General Motors
Advertising
($billions)
$2.19
2.15
ETET
AT&T
Ford
Verizon
L'Oreal
2.56
2.44
2.34
Toyota
Fiat Chrysler
Walt Disney Company
J.P Morgan
a. What is the mean amount spent on advertising? (to 2 decimals)
2.55
b. What is the median amount spent on advertising? (to 3 decimals)
2.09
1.97
1.96
1.88
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