Many people believe that the average number of Facebook friends is 120. The population standard deviation is 37.8. A random sample of 39 high school students in a particular county revealed that the average number of Facebook friends was 147. At =α0.01, is there sufficient evidence to conclude that the mean number of friends is greater than 120? State the hypotheses and identify the claim with the correct hypothesis.
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Step 1
Step 1: State the hypotheses - Null Hypothesis (H0): The population average number of Facebook friends is equal to 120 (μ = 120) - Alternative Hypothesis (H1): The population average number of Facebook friends is greater than 120 (μ > 120) Show more…
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Many people believe that the average number of Facebook friends is 125. The population standard deviation is 39.2. A random sample of 43 high school students in a particular county revealed that the average number of Facebook friends was 147. At α = 0.01, is there sufficient evidence to conclude that the mean number of friends is greater than 125?
Adi S.
Many people believe that the average number of Facebook friends is 135. The population standard deviation is 36.6. A random sample of 35 high school students in a particular county revealed that the average number of Facebook friends was 155. At α=0.10, is there sufficient evidence to conclude that the mean number of friends is greater than 135? H0=___ H1=____ This hypothesis test is a (Choose one) test.
David N.
A one-sided claim about a population proportion is a claim that the proportion is less than (or greater than) some specific value. Such a claim can be formally addressed using a one-sided confidence intenal for $p$, which can be expressed as $p \leq$ $\hat{p}+E$ or $p>\hat{p}-E,$ where the margin of error $E$ is modified by replacing $z_{\alpha / 2}$ with $z_{\alpha}$ - (Instead of dividing $\alpha$ between two tails of the standard normal distribution, put all of it in one tail.) The Chapter Problem refers to a Gallup poll of 1487 adults showing that $43 \%$ of the respondents have Facebook pages. Use that data to construct a one-sided $95 \%$ confidence interval that would be suitable for helping to determine whether the proportion of all adults having Facebook pages is less than $50 \%$.
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