A report in a Health magazine stated that $14\%$ of men said they used exercise to reduce

stress. A random sample of $100$ men was selected, and $10$ said that they used exercise to

relieve stress. Use $a=0\mathrm{.}05$ to determine that the proportion of men who used exercise to

reduce stress is less than $14\%.$ Answer the following questions.

a$.$ Identify the claim and state the $H_0$ and $H_1.$

b$.$ Find the critical value.

c$.$ Calculate the test statistic.

d$.$ Make a decision to reject or fail to reject the $H_0.$

e$.$ Interpret the decision in the context of the original claim.

A statement claimed that teens aged $15-18$ spend a total of $36$ hours on social media per

week. A random sample of $15$ teens aged $15-18$ is selected, and the mean time spent on

social media is $40$ hours with a sample standard deviation of $12$ hours. Test the claim using $$

$=0\mathrm{.}10,$ that teens aged $15-18$ spend a total of $36$ hours on social media per week. Answer

the following questions.

a$.$ Identify the claim and state the $H_0$ and $H_1.$

b$.$ Find the critical value.

c$.$ Calculate the test statistic.

d$.$ Make a decision to reject or fail to reject the $H_0.$

e$.$ Interpret the decision in the context of the original claim.