A study conducted by a technology company showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 20.6 minutes. Assume the standard deviation is =σ8. Suppose a simple random sample of 102 visits taken this year has a sample mean of =x19.6 minutes. A social scientist is interested to know whether the mean time browsing Netflix has decreased. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part: 0 / 50 of 5 Parts CompletePart 1 of 5(a) State the appropriate null and alternate hypotheses.H0: 20.6H1: 20.6
Question
A study conducted by a technology company showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 20.6 minutes. Assume the standard deviation is =σ8. Suppose a simple random sample of 102 visits taken this year has a sample mean of =x19.6 minutes. A social scientist is interested to know whether the mean time browsing Netflix has decreased. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part: 0 / 50 of 5 Parts CompletePart 1 of 5(a) State the appropriate null and alternate hypotheses.H0: 20.6H1: 20.6
Solution
The null hypothesis (H0) and the alternative hypothesis (H1) are statements about the population that are contradictory. The null hypothesis is usually a statement of 'no effect' or 'no difference'. The alternative hypothesis is what you might believe to be true or hope to prove true.
In this case, since the social scientist is interested to know whether the mean time browsing Netflix has decreased, the hypotheses would be:
H0: μ = 20.6 (The mean time spent browsing Netflix has not changed) H1: μ < 20.6 (The mean time spent browsing Netflix has decreased)
Here, μ represents the population mean.
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