A professor using an open source introductory statistics book predicas that 10% of the students will purchase a hard copy of the book, 55% will print it out fram the web, and 35% will read it online. AL the end of the semester he asks his student LO complete a survey where they indicate what format of the book they used. Of the 200 studeres, 25 said they bought a hard capy of the book, 85 said they printed it out fram the web, and 90 said they read it online. (a) Slate the hypotheses for testing if the professor's predictions were inaccurate. O Ho: Pauy"1. Prne"-55, Ponline35 Ha: at least one olf the claimed probabilities is different OHo: Pauy -.1, Pr55, Poin35 Ha: all of the claimed probabilities are different OHo: Pauy ".1, Pru55, Poine35 Ha: at least one of the claimed probabilities is zero (b) How many students did the professor expect to buy the book, print the book, and read the book exclusively online? f necessary, round to the nearest whoale number) Observed Expected Buy Hard Copy 25 Print Out 85 Read Online 90 () Calculate the chi-squared statistic, the degrees of freedom associated with it, and the p-value. The value of the test-statistic is: (please round to two decimal places) The degrees of freedom associated with this test are: The p value associated with this test is: O between 01 and.05 O less than 01 O between 05 and.1 Ogreater than.1

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Author:Amos Gilat
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A professor using an open-source introductory statistics book predicts that 10% of the students will purchase a hard copy of the book, 55% will print it out from the web, and 35% will read it online. At the end of the semester, he asks his students to complete a survey where they indicate what format of the book they used. Of the 200 students, 25 said they bought a hard copy of the book, 85 said they printed it out from the web, and 90 said they read it online.

(a) State the hypotheses for testing if the professor’s predictions were inaccurate.

- \( H_0 \): \( p_1 = 0.1 \), \( p_2 = 0.55 \), \( p_3 = 0.35 \)
  - \( H_0 \): At least one of the claimed probabilities is different.
  
- \( H_a \): All of the claimed probabilities are different.
  - \( H_a \): At least one of the claimed probabilities is zero.

(b) How many students did the professor expect to buy the book, print the book, and read the book exclusively online? (If necessary, round to the nearest whole number)

|                  | Observed | Expected |
|------------------|----------|----------|
| Buy Hard Copy    | 25       |          |
| Print Out        | 85       |          |
| Read Online      | 90       |          |

(c) Calculate the chi-squared statistic, the degrees of freedom associated with it, and the p-value.

The value of the test statistic is: \_\_\_\_\_\_ (please round to two decimal places)

The degrees of freedom associated with this test is: \_\_\_\_

The p-value associated with this test is: 
- \( p \) between 0.1 and 0.5 
- \( p \) less than .01
- \( p \) between .01 and .1 
- \( p \) greater than .1

(e) Based on the p-value calculated in part (d), what is the conclusion of the hypothesis test?

- Option 1: Since p >= α we accept the null hypothesis
- Option 2: Since p < α we reject the null hypothesis and accept the alternative
- Option 3: Since p >= α we reject the null hypothesis and accept the alternative
- Option 4: Since
Transcribed Image Text:A professor using an open-source introductory statistics book predicts that 10% of the students will purchase a hard copy of the book, 55% will print it out from the web, and 35% will read it online. At the end of the semester, he asks his students to complete a survey where they indicate what format of the book they used. Of the 200 students, 25 said they bought a hard copy of the book, 85 said they printed it out from the web, and 90 said they read it online. (a) State the hypotheses for testing if the professor’s predictions were inaccurate. - \( H_0 \): \( p_1 = 0.1 \), \( p_2 = 0.55 \), \( p_3 = 0.35 \) - \( H_0 \): At least one of the claimed probabilities is different. - \( H_a \): All of the claimed probabilities are different. - \( H_a \): At least one of the claimed probabilities is zero. (b) How many students did the professor expect to buy the book, print the book, and read the book exclusively online? (If necessary, round to the nearest whole number) | | Observed | Expected | |------------------|----------|----------| | Buy Hard Copy | 25 | | | Print Out | 85 | | | Read Online | 90 | | (c) Calculate the chi-squared statistic, the degrees of freedom associated with it, and the p-value. The value of the test statistic is: \_\_\_\_\_\_ (please round to two decimal places) The degrees of freedom associated with this test is: \_\_\_\_ The p-value associated with this test is: - \( p \) between 0.1 and 0.5 - \( p \) less than .01 - \( p \) between .01 and .1 - \( p \) greater than .1 (e) Based on the p-value calculated in part (d), what is the conclusion of the hypothesis test? - Option 1: Since p >= α we accept the null hypothesis - Option 2: Since p < α we reject the null hypothesis and accept the alternative - Option 3: Since p >= α we reject the null hypothesis and accept the alternative - Option 4: Since
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