Assume you perform a study to detect how using social networks affects people's hapiness level. You have 20 volunteers. Your study is planned as follows. All participants are known to be active users of social networks. First you ask every participant to fill in special questionary that allows you to estimate their hapiness level. After that all participants will avoid using of social networks for one week. After this week they complete similar questionary to detect their new level of hapiness. Then for each participants their new hapiness level is compared the initial one. Assume that for each participant their hapiness level is changed: either decreased or increased. Let X be the random variable that models the number of participants for who increased their happiness level. Let Xobs = 16, i.e. 16 out of 20 participants become more happy, and it's the only data you can make decision on. Your significance level is 5%.

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• State null hypothesis and an alternative of your research. Explain why you choose this alternative.
• State how X is distributed provided that null hypothesis holds.
• Would you claim that people become happier when they avoid using social networks based on this data?
Provide all necessary calculations, p-values, etc.
Transcribed Image Text:• State null hypothesis and an alternative of your research. Explain why you choose this alternative. • State how X is distributed provided that null hypothesis holds. • Would you claim that people become happier when they avoid using social networks based on this data? Provide all necessary calculations, p-values, etc.
Assume you perform a study to detect how using social networks affects people's hapiness level. You have 20 volunteers.
Your study is planned as follows. All participants are known to be active users of social networks. First you ask every
participant to fill in special questionary that allows you to estimate their hapiness level. After that all participants will avoid
using of social networks for one week. After this week they complete similar questionary to detect their new level of
hapiness. Then for each participants their new hapiness level is compared the initial one. Assume that for each participant
their hapiness level is changed: either decreased or increased. Let X be the random variable that models the number of
participants for who increased their happiness level. Let Xobs = 16, i.e. 16 out of 20 participants become more happy,
and it's the only data you can make decision on. Your significance level is 5%.
Transcribed Image Text:Assume you perform a study to detect how using social networks affects people's hapiness level. You have 20 volunteers. Your study is planned as follows. All participants are known to be active users of social networks. First you ask every participant to fill in special questionary that allows you to estimate their hapiness level. After that all participants will avoid using of social networks for one week. After this week they complete similar questionary to detect their new level of hapiness. Then for each participants their new hapiness level is compared the initial one. Assume that for each participant their hapiness level is changed: either decreased or increased. Let X be the random variable that models the number of participants for who increased their happiness level. Let Xobs = 16, i.e. 16 out of 20 participants become more happy, and it's the only data you can make decision on. Your significance level is 5%.
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