Question

In: Statistics and Probability

4. The Pew Research Center conducted a survey in 2019 asking U.S. adults about their experiences...

4. The Pew Research Center conducted a survey in 2019 asking U.S. adults about their experiences dating online. In a random sample of 100 adults who had dated online, 25 said dating sites made them feel insecure. Research question: Is the amount of online daters who believe dating sites make them feel insecure different than a third?

a. Compute the value of the statistic.

b. What are the hypothesis statements to answer the research question?

c. Are the appropriate conditions met to conduct a hypothesis test using the standard normal distribution? Explain.

d. Compute the value of the test statistic.

e. Find p-value using the appropriate theoretical distribution in StatKey (include screenshot from StatKey): p-value =

f. What is your conclusion in the context of this study?

Solutions

Expert Solution

4.

Given that,
possibile chances (x)=25
sample size(n)=100
success rate ( p )= x/n = 0.25
success probability,( po )=0.33
failure probability,( qo) = 0.67
null, Ho:p=0.33
alternate, H1: p!=0.33
level of significance, α = 0.05
from standard normal table, two tailed z α/2 =1.96
since our test is two-tailed
reject Ho, if zo < -1.96 OR if zo > 1.96
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.25-0.33/(sqrt(0.2211)/100)
zo =-1.7014
| zo | =1.7014
critical value
the value of |z α| at los 0.05% is 1.96
we got |zo| =1.701 & | z α | =1.96
make decision
hence value of |zo | < | z α | and here we do not reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -1.70136 ) = 0.08888
hence value of p0.05 < 0.0889,here we do not reject Ho
ANSWERS
---------------
a.
null, Ho:p=0.33
alternate, H1: p!=0.33
b.
Z test for proportion for the research question
c.
yes,
the appropriate conditions met to conduct a hypothesis test using the standard normal distribution

d.
test statistic: -1.7014
critical value: -1.96 , 1.96
e.
decision: do not reject Ho
p-value: 0.08888
f.
we do not have enough evidence to support the claim that the amount of online daters who believe dating
sites make them feel insecure different than a third.


Related Solutions

3. The Pew Research Center conducted a survey in 2019 asking U.S. adults about their experiences...
3. The Pew Research Center conducted a survey in 2019 asking U.S. adults about their experiences dating online. In a random sample of 200 adults aged 18-49, 114 said dating sites are a safe way to meet people. In a random sample of 200 adults aged 50+, 82 said dating sites are a safe way to meet people. Research question: Are U.S. adults aged 18-49 more likely to say dating sites are safe than those aged 50+? a. What are...
Invest in science ~ The Pew Research Center conducted a survey of U.S. adults in 2019...
Invest in science ~ The Pew Research Center conducted a survey of U.S. adults in 2019 to determine how American citizens feel about whether federal government should increase spending for scientific research. In the study, there were 712 Democrats and 652 Republicans. According to the survey, 438 Democrats and 270 Republicans said they are in favor of increased spending for scientific research. We want to estimate the actual difference between the proportions of Democrats and Republicans who favor increased spending...
The Pew Research Center recently conducted a survey of 1007 U.S. adults and found that 85%...
The Pew Research Center recently conducted a survey of 1007 U.S. adults and found that 85% of those surveyed know what Twitter is. Using the survey results construct a 95% confidence interval estimate of the percentage of all adults who know what Twitter is. Round the percentages to the first decimal place. (c) Explain why it would or would not be okay for a newspaper to make this statement: “Based on results from a recent survey, more than 3 out...
The Pew Research Center conducted a survey about gun control in September 2019. They randomly surveyed...
The Pew Research Center conducted a survey about gun control in September 2019. They randomly surveyed 3,930 U.S. adults. 60% said they are in favor stricter gun laws, 28% said the laws are about right, and 12% said they are in favor of less strict laws. a) Find a 98% confidence interval for the proportion adults in the US that are in favor of stricter gun laws. Do not make these calculations by hand. Instead, use the proper command in...
In a recent survey conducted by the Pew Research Center, a random sample of adults 18...
In a recent survey conducted by the Pew Research Center, a random sample of adults 18 years of age or older living in the continental united states was asked their reaction to the word socialism. In addition, the individuals were asked to disclose which political party they most associate with. Results of the survey are given in the table. Democrat Independent Republican Positive 220 144 62 Negative 279 410 351 a) Explain why this data should be analyzed by the...
According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and...
According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (Time, May 30, 2011). Suppose this result was true of all college graduates at that time. In a recent sample of 2000 college graduates, 59% said that college education prepared them for a job. Is there significant evidence at a 5% significance level to conclude that the current...
5. According to a Pew Research Center nationwide telephone survey of American adults conducted by phone...
5. According to a Pew Research Center nationwide telephone survey of American adults conducted by phone between March 15 and April 24, 2011, 75% of adults said that college education has become too expensive for most people and they cannot afford it (Time, May 30, 2011). Suppose that this result is true for the 2011 population of American adults. In a recent poll of 1600 American adults, 1160 said that college education has become too expensive for most people and...
Gender and Frequency of Status Updates on Facebook The Pew Research Center conducted a survey of...
Gender and Frequency of Status Updates on Facebook The Pew Research Center conducted a survey of randomly sampled American adults, asking them about their use of social networking sites such as Facebook.1 The table below shows the self-reported frequency of status updates on Facebook by gender. Are frequency of status updates and gender related? ↓Status/Gender → Male Female Total Every day 42 88 130 3-5 days/week 46 59 105 1-2 days/week 70 79 149 Every few weeks 77 79 156...
The Pew Research Center Internet Project conducted a survey of 657 Internet users. This survey provided...
The Pew Research Center Internet Project conducted a survey of 657 Internet users. This survey provided a variety of statistics on them. If required, round your answers to four decimal places. (a) The sample survey showed that 90% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. ______ to _____ (b) The sample survey...
The Pew Research Center Internet Project conducted a survey of 757 Internet users. This survey provided...
The Pew Research Center Internet Project conducted a survey of 757 Internet users. This survey provided a variety of statistics on them. If required, round your answers to four decimal places. (a) The sample survey showed that 90% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. to (b) The sample survey showed that...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT