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QuestionCalculate the proportion of each survey response on job security and round to two decimal places based on frequencies: Very likely (429), Fairly likely (481), Not too likely (1950), Not likely (4927).

Studdy Solution

STEP 1

Assumptions1. The responses to the survey question are "Very likely", "Fairly likely", "Not too likely", and "Not likely". . The frequencies of these responses are429,481,1950, and4927 respectively.
3. The proportion of each response is calculated by dividing the frequency of that response by the total frequency of all responses.

STEP 2

First, we need to find the total frequency of all responses. This can be done by adding up the frequencies of all the responses.
Total frequency=FrequencyVery likely+FrequencyFairly likely+FrequencyNot too likely+FrequencyNot likelyTotal\, frequency = Frequency_{Very\, likely} + Frequency_{Fairly\, likely} + Frequency_{Not\, too\, likely} + Frequency_{Not\, likely}

STEP 3

Now, plug in the given values for the frequencies to calculate the total frequency.
Total frequency=429+481+1950+4927Total\, frequency =429 +481 +1950 +4927

STEP 4

Calculate the total frequency.
Total frequency=429+481+1950+4927=7787Total\, frequency =429 +481 +1950 +4927 =7787

STEP 5

Now that we have the total frequency, we can calculate the proportion of each response. The proportion of a response is calculated by dividing the frequency of that response by the total frequency.
For "Very likely", the proportion isProportionVery likely=FrequencyVery likelyTotal frequencyProportion_{Very\, likely} = \frac{Frequency_{Very\, likely}}{Total\, frequency}

STEP 6

Plug in the values for the frequency of "Very likely" and the total frequency to calculate the proportion.
ProportionVery likely=429778Proportion_{Very\, likely} = \frac{429}{778}

STEP 7

Calculate the proportion of "Very likely" and round the result to two decimal places.
ProportionVery likely=4297787≈0.055Proportion_{Very\, likely} = \frac{429}{7787} \approx0.055

STEP 8

Repeat the process for "Fairly likely", "Not too likely", and "Not likely".
For "Fairly likely", the proportion isProportionFairly likely=FrequencyFairly likelyTotal frequency=4817787≈0.062Proportion_{Fairly\, likely} = \frac{Frequency_{Fairly\, likely}}{Total\, frequency} = \frac{481}{7787} \approx0.062For "Not too likely", the proportion isProportionNot too likely=FrequencyNot too likelyTotal frequency=19507787≈0.250Proportion_{Not\, too\, likely} = \frac{Frequency_{Not\, too\, likely}}{Total\, frequency} = \frac{1950}{7787} \approx0.250For "Not likely", the proportion isProportionNot likely=FrequencyNot likelyTotal frequency=49277787≈0.633Proportion_{Not\, likely} = \frac{Frequency_{Not\, likely}}{Total\, frequency} = \frac{4927}{7787} \approx0.633The proportions of each response, rounded to two decimal places, are\begin{tabular}{lr} \hline Response & Proportion \\ \hline Very likely &0.055 \\ Fairly likely &0.062 \\ Not too likely &0.250 \\ Not likely &0.633 \\ \hline\end{tabular}

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