After some time, a movie streaming company only holds on to a movie in its offering if the movie has had a 4.5 rating or above. Currently, there are six movies that are being evaluated and the ratings for these six are in ratings.xlsx . Of the six movies, we are interested in determining which ones will be kept in the company's selection and which ones will be eliminated (testing at a 5% level of significance). What is the alternate hypothesis?

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that we are trying to proof is "A movie streaming company only holds on to a movie in its offering if the movie has had a 4.5 rating or above". So that needs to be on the alternative hypothesis. And the complement should be the null hypothesis.

Null hypothesis: [tex]\mu \leq 4.5[/tex]

Alternative hypothesis: [tex]\mu >4.5[/tex]

We have another into to complete the test for example:

[tex]n=6[/tex] represent the sample size selected

[tex]\mu_o =4.5[/tex] The value that we want to test

[tex]\alpha =0.05[/tex] represent the significance level

Confidence =95% or 0.95