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Answer:
There is a relationship between the age of a young adult and the type of movie preferred.
Step-by-step explanation:
In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.
The hypothesis can be defined as:
<em>H₀</em>: Age of a young adult and movie preference are independent.
<em>Hₐ</em>: Age of a young adult and movie preference are not independent.
The test statistic is given as follows:
Consider the table below.
The formula to compute the expected frequencies is:
The Chi-square test statistic value is:
The significance level of the test is, <em>α</em> = 0.05.
The degrees of freedom of the test is,
df = (r - 1)(c - 1)
= (3 - 1)(3 - 1)
= 2 × 2
= 4
Compute the <em>p</em>-value as follows:
<em>p</em>-value = 0.6266
*Use a Chi square table.
As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.
Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.
Answer:
Statement A is correct about Sam's box and whisker plot.
Step-by-step explanation:
We have been given a box plot and we are asked to find out true statement according to the box plot.
Since we know data represented by box plot is divided in four equal parts.
Upon looking at our box plot we can see that our data is symmetric. It's median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.
Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.
Upon substituting given values from box plot we get,
From IQR we can conclude that half of the assignments contained 15 problems or fewer.Therefore, option A is the correct choice.