(a)
To Explain: these data satisfy our guidelines for safe use of the chi-square test.
(a)
Answer to Problem 10.28E
Yes
Explanation of Solution
Given:
Female | Male | |
Accounting | 68 | 56 |
Administration | 91 | 40 |
Economics | 5 | 6 |
Finance | 61 | 59 |
Formula used:
Calculation:
Assume
Row and column totals are
Female | Male | Total | |
Accounting | 68 | 56 | 124 |
Administration | 91 | 40 | 131 |
Economics | 5 | 6 | 11 |
Finance | 61 | 59 | 120 |
Total | 225 | 161 | 386 |
The expected frequencies
It is observed that all expected counts are least 1 and less than 20% of the expected counts are less than 5 therefore the data satisfied our guidelines for safe use of the chi-square test.
(b)
To Explain: there is statistically significant relationship between the gender and major of business students and carry out a test and the conclusion.
(b)
Answer to Problem 10.28E
There is no enough evidence to help the claim that there is an connection between major and gender.
Explanation of Solution
Given:
Female | Male | |
Accounting | 68 | 56 |
Administration | 91 | 40 |
Economics | 5 | 6 |
Finance | 61 | 59 |
Formula used:
Calculation:
The null hypothesis statement is that there is no connection between the variables, where the alternative hypothesis statement is that there is a connection between the variable.
The value of the test- statistic is
The degree of freedom is
The P-Value is the probability of obtaining the value of the test statistic, or a value more extreme and row
If the P-value is equal or less than to the significance level, then the alternative hypothesis is accepted and null hypothesis is rejected:
There is no enough evidence to help the claim that there is an connection between major and gender.
(c)
To Calculate: the percent of the students did not respond to the questionnaire and conclusion that can be drawn from these data.
(c)
Answer to Problem 10.28E
46.54% the results could be strongly inaccurate
Explanation of Solution
The table have total data about 386 students, where 722 questionnaires were sending out. Then observed that 722-386=336 of the students did not respond to the questionnaires
The results could be strongly inaccurate.
Chapter 10 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
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