Question

In: Math

1). Write the null and alternative hypothesis. Make sure you write the correct “formula” (Ho or...

1). Write the null and alternative hypothesis. Make sure you write the correct “formula” (Ho or Ha), noting whether it is directional or non-directional depending on whether the question calls for an increase/decrease or simply a change!

2). Tell me what would be a Type I AND a Type II Error for each example. When you explain the type I and type II error for each, make sure you tell me what the conclusion would be and what the reality would be in each scenario.

-You read an article online that suggests that the number of negative tweets posted online about the TV show Game of Thrones significantly increased during the 2019 season, as compared to the previous season. You decide to test this hypothesis.

a) Null Ho:

b) Alternative Ha:

c) Type I Error:

d) Type II Error:

Solutions

Expert Solution

Null Hypothesis H0 : Among the tweets posted online about the TV show Game of Thrones, the proportion of negative tweets during the 2019 season is the same as the proportion of negative tweets during the previous season.

Alternative Hypothesis Ha : Among the tweets posted online about the TV show Game of Thrones, the proportion of negative tweets during the 2019 season is greater than the proportion of negative tweets during the previous season.

Type I Error : The conclusion is to reject the null hypothesis when actually the null hypothesis is true. Simply put, from a sample of online tweets obtained, it is concluded that the proportion of negative tweets has significantly increased during the 2019 season compared to the previous season whereas actually the proportion has remained fairly the same.

Type II Error : The conclusion is to accept the null hypothesis when actually the null hypothesis is not true. Simply put, from a sample of online tweets obtained, it is concluded that the proportion of negative tweets has remained fairly the same during the 2019 season compared to the previous season whereas actually the proportion has significantly increased.


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