Question
Students at multiple grade schools were asked what their personal goal (get good grades, be popular, be good at sports) was and how important having
Students at multiple grade schools were asked what their personal goal (get good grades, be popular, be good at sports) was and how important having money were to them (1 very important and 4 least important). The data are in the table below. Do the data provide enough evidence to show that goal attainment and importance of having money are dependent? Test at the 4% level.
Money Importance Rating
personal goal | 1 | 2 | 3 | 4 | Row Totals |
grades | 12 | 36 | 71 | 126 | 245 |
popular | 15 | 30 | 35 | 64 | 144 |
sports | 6 | 13 | 24 | 45 | 88 |
Column Totals | 33 | 79 | 130 | 235 | 477 |
H: Hypotheses H0:H0:Select an answer 1 grade school students grade school student money importance rating and Select an answer grade school student personal goal 2 grade school students are Select an answer independent not linearly related linearly related not correlated dependent correlated
HA:HA:Select an answer money importance rating grade school students grade school student 1 and Select an answer 2 grade school students grade school student personal goal are Select an answer independent correlated not correlated linearly related dependent not linearly related A: Assumptions
- In this problem Select an answer Quantitative Qualitative data were collected for Select an answer One Two Four Three variable(s) from ? 477 2 1 sample(s).
- Which of the following assumptions must be checked?
- Check all that apply.
Check the assumptions: 1. Enter the matrix of expected values (round values to 2 decimal places):
- Are all of the values in the matrix of expected values greater than or equal to 5? ? No Yes
2. No N is given, we will assume N ? ? ? = ? N: Name the test
The conditions are met to use a Select an answer Linear Regression T-Test Chi-Square Independence Test T-Test, 2-Sample T-Test 2-Proportion Z-Test 1-Proportion Z-Test Paired T-Test Chi-Square Goodness-of-Fit Test . T: Test Statistic
The formula set up of the first and last term of the test statistic are as follows:
Round initial values to 2 decimal places: X2=?((O?E)2E)?2=?((O-E)2E) = ( - )^2^2/ + ... + ( - )^2^2/ Final answer from technology rounded to 2 decimal places:
?2?2 = O: Obtain the P-value
Report the final answer to 4 decimal places.
It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision
Since the p-value ? ? ? = ? , we Select an answer reject H? reject H? fail to reject H? accept H? fail to reject H? . S: State a conclustion
- There Select an answer is is not significant evidence to conclude that Select an answer 1 grade school students grade school student money importance rating and Select an answer 2 personal goal grade school students grade school student are Select an answer independent linearly related not correlated correlated dependent not linearly related for Select an answer 477 randomly selected all grade school students.
- All sample sizes are at least 30
- All expected counts are at least 5
- Population standard deviations are known
- Population standard deviations are unknown
- All observed counts are less than 5
- All expected counts are less than 5
- N
- All observed counts are at least 5
- N >= 20n
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