Following Are Observed Frequencies $H _ { 0 } : p _ { 1 } = 0.35$

question 39

Essay

Following are observed frequencies. The null hypothesis is $H _ { 0 } : p _ { 1 } = 0.35$ , $p _ { 2 } = 0.25 , p _ { 3 } = 0.2 , p _ { 4 } = 0.05 , p _ { 5 } = 0.15$ .
$\begin{array}{l|lllll}\text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 38 & 31 & 24 & 23 & 4\end{array}$

i). Compute the expected frequencies.
ii). Compute the value of $\chi ^ { 2 }$ .
iii). How many degrees of freedom are there?
iv). Test the hypothesis that the distribution of the observed frequencies is as giver null hypothesis. Use the $\alpha = 0.05$ level of significance.

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Definitions:

Physical

Relating to the body or material things, as opposed to the mind or spirit.

Cognitive

Relating to the mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.

Emotional

Pertaining to feelings or psychological states, often influencing behavior and perception.

Job Crafting Behaviours

The actions taken by employees to personally modify their job tasks, relationships, and perceptions to improve their job satisfaction and performance.