Answer: t=-5.651
Explanation:
Let
be the population mean number of hours a week answering their email.
As per given we have

Sample size : n= 783
Sample mean : 
Sample standard deviation: s=7.23
Since population standard deviation is unknown, so our test -statistic has a t-distribution.
Test statistic : 

∴ The test statistic : t=-5.651
It should be noted that research design that seeks to determine the nature of the relationship between two variables, such as amount of in-ear headphone use and the prevalence of hearing loss in old age is Correlational research.
<h3>What is Correlational research?</h3>
Correlational research can be regarded as the non-experimental research method which helps in determining the relationship between two variables using statistical analysis.
It determine the nature of the relationship between two variables.
Learn more about Correlational research at:
brainly.com/question/9363521