A researcher conducted a study of a professor's answer choices on a multiple-choice test. The researcher found the number of each answer choice for the 100-question test. Given the following data, state the null and alternative hypotheses. What is the chi-square and the critical value at the 0.05 level? Do the results support the null or alternative hypothesis? | Type | \( f_o \) | \( f_e \) | |------|--------|--------| | A | 14 | 25 | | B | 25 | 25 | | C | 35 | 25 | | D | 26 | 25 | | Total| 100 | | In this table: - \( f_o \) represents the observed frequency of each answer choice. - \( f_e \) represents the expected frequency of each answer choice. Examine the data and solve for the chi-square statistic and its comparison to the critical value, in order to decide which hypothesis is supported.

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A researcher conducted a study of a professor's answer choices on a multiple-choice test. The researcher found the number of each answer choice for the 100-question test. Given the following data, state the null and alternative hypotheses. What is the chi-square and the critical value at the 0.05 level? Do the results support the null or alternative hypothesis?

| Type | \( f_o \) | \( f_e \) |
|------|--------|--------|
| A    | 14     | 25     |
| B    | 25     | 25     |
| C    | 35     | 25     |
| D    | 26     | 25     |
| Total| 100    |        |

In this table:
- \( f_o \) represents the observed frequency of each answer choice.
- \( f_e \) represents the expected frequency of each answer choice.

Examine the data and solve for the chi-square statistic and its comparison to the critical value, in order to decide which hypothesis is supported.
Transcribed Image Text:A researcher conducted a study of a professor's answer choices on a multiple-choice test. The researcher found the number of each answer choice for the 100-question test. Given the following data, state the null and alternative hypotheses. What is the chi-square and the critical value at the 0.05 level? Do the results support the null or alternative hypothesis? | Type | \( f_o \) | \( f_e \) | |------|--------|--------| | A | 14 | 25 | | B | 25 | 25 | | C | 35 | 25 | | D | 26 | 25 | | Total| 100 | | In this table: - \( f_o \) represents the observed frequency of each answer choice. - \( f_e \) represents the expected frequency of each answer choice. Examine the data and solve for the chi-square statistic and its comparison to the critical value, in order to decide which hypothesis is supported.
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