Question

A researcher collated data on americans’ leisure time activities. she found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. jonathan believes that his football team buddies watch less television than the average american. he gathered data from 40 football teammates and found the mean to be 2.3. which of the following are the correct null and alternate hypotheses? h0: mu = 2.7; ha: mu less-than 2.7 h0: mu not-equals 2.7; ha: mu = 2.3 h0: mu = 2.7; ha: mu not-equals 2.7 h0: mu = 2.7; ha: mu greater-than-or-equal-to 2.3

Answer 1

The correct  null and the alternative hypotheses are:

$h_0: \mu = 2.7\\\\ h_a: \mu < 2.7$

What is a hypothesis?

A hypothesis is an untested statement in mathematics that is supported by all available data and numerous weaker results.

A "conjecture" is a mathematical statement that has not been proven.

The given data in the problem is;

n is the sample size = 40

μ is the population mean = 2.7

$\rm \sigma$ is the standard deviation= 0.2

$\bar x$ is the sample mean:= 2.3

It is found that the null hypothesis always shows the equality sign.

So for the null hypothesis;

$h_0: \mu = 2.7$

It is observed that the sample mean is less than the population mean in that case, the alternate hypothesis will be;

$h_a: \mu < 2.7$

Hence the correct  null and the alternative hypotheses are:

$h_0: \mu = 2.7\\\\ h_a: \mu < 2.7$

To learn more about the hypothesis refer to the link;

https://brainly.com/question/2695653