Question

1. Online Dating Experiences[1]

The Pew Research Center conducted a survey in 2019 asking adults about their experiences dating online. This assignment is based on a random sample of 100 U.S. citizens in 2019 who had dated online. Participants were asked whether or not they had an overall positive experience with online dating platforms. Out of the 100 people, 57 said they had an overall positive experience.

Research Question: For U.S. citizens who have dated online, is the population proportion who had an overall positive experience more than 0.5?

1. What is the parameter? Describe in context.

b. What is the statistic? Describe in context and provide a value. Do not forget to show your calculation.

3. List the hypothesis statements using appropriate symbols and values to answer the research question.

H₀:

H_A:

4. Use StatKey to find the p-value. Don’t forget to include your StatKey output.

p-value =

5. Interpret the value of your p-value by specifying what the probability represents in context.

6. What is your conclusion in the context of this problem?

Answer 1

a)
parameter of interest : proportion of U.S. citizens who have dated online and had an overall positive experience more than 0.5

b)
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.57 - 0.5)/sqrt(0.5*(1-0.5)/100)
z = 1.4

c)
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.5
Alternative Hypothesis, Ha: p > 0.5

P-value = 0.0808

e)
As P-value >= 0.05, fail to reject null hypothesis.

f)
There is no sufficient evidence to conclude that for U.S. citizens who have dated online, is the population proportion who had an overall positive experience more than 0.5