Mathematics, 13.12.2019 23:31 rileywjones0725

In 2012, the general social survey asked a sample of 1324 people how much time they spent watching tv each day. the mean number of hours was with a standard deviation of . a sociologist claims that people watch a mean of hours of tv per day. do the data provide sufficient evidence to conclude that the mean hours of tv watched per day differs from the claim?

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Answer from: SapphireWolf

p_v =2*P(Z

If we compare the p value and the significance level we see that $p_v \alpha$ so then we FAIL to reject the null hypothesis at the significance level provided. So there is not enough evidence to conclude that the mean is significantly different from 3.

Step-by-step explanation:

Data given and notation

$\bar X=2.98$ represent the sample mean (assumed)

s=2.66 represent the standard deviation for the sample (assumed)

n=1324 sample size

$\mu_o =3$ represent the value that we want to test (assumed)

$\alpha=0.01$ represent the significance level for the hypothesis test (assumed).

z would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the true mean is different from 3, the system of hypothesis would be:

Null hypothesis: $\mu = 3$

Alternative hypothesis: $\mu \neq 3$

Compute the test statistic

We don't know the population deviation, but the sample size is large, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{2.98-3}{\frac{2.66}{\sqrt{1324}}}=-0.274$

What do you conclude? Use the p-value approach

Since is a two tailed test the p value would be:

p_v =2*P(Z

Answer from: Quest

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Answer from: Quest

he has now walked a total of what?

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step-by-step explanation:

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