Question

A problem with bullying ~ In 2018, the Pew Research Center conducted a survey of American teenagers and reported that 56% of Americans aged 13 to 17 say bullying is a major problem among people their age in the community where they live. A school psychologist wonders if the attitudes of teens in a local school district is different from the figure in the report. She randomly selects 304 students aged 13 to 17 from the district and finds that 181 (59.54%) of them agree that bullying is a major problem among people their age in the community. 1. Select from the dropdowns to complete the null and alternative hypotheses that the psychologist wishes to test. H0: The percentage of students in my district who say bullying is a major problem is equal to 59.54% Ha: The percentage of students in my district who say bullying is a major problem is higher than 56% 2. The paragraph below describes how we might perform a randomization-based hypothesis test of the hypotheses in part 1. Fill in the blanks and select the appropriate drop-down choices to correctly describe how the test could be conducted. To set up a simulation for this situation, we let each student be represented with a card. To set up the null hypothesis model, we take 100 cards, [ ] green cards to represent students who say bullying is a major problem and [ ] white cards to represent students who do not. Shuffle the cards and draw [ ] cards with replacement representing the sample in the psychologist's study. Record the proportion of ? cards and call it p?sim. Repeat this process many, many times and plot the resulting sample proportions to construct the null distribution. 3. Use the One Proportion Resampling Test app to conduct the simulation. Draw at least 3000 samples, then report your p-value from the app. Use this external link to the One Proportion Resampling Test if the app does not load properly on your computer. (Right click to open in a new tab or window.)

A problem with bullying ~ In 2018, the Pew Research Center conducted a survey of American teenagers and reported that 56% of Americans aged 13 to 17 say bullying is a major problem among people their age in the community where they live. A school psychologist wonders if the attitudes of teens in a local school district is different from the figure in the report. She randomly selects 304 students aged 13 to 17 from the district and finds that 181 (59.54%) of them agree that bullying is a major problem among people their age in the community.

1. Select from the dropdowns to complete the null and alternative hypotheses that the psychologist wishes to test.

H0: The percentage of students in my district who say bullying is a major problem is equal to 59.54%
Ha: The percentage of students in my district who say bullying is a major problem is higher than 56%

2. The paragraph below describes how we might perform a randomization-based hypothesis test of the hypotheses in part 1. Fill in the blanks and select the appropriate drop-down choices to correctly describe how the test could be conducted.

To set up a simulation for this situation, we let each student be represented with a card. To set up the null hypothesis model, we take 100 cards, [ ] green cards to represent students who say bullying is a major problem and [ ] white cards to represent students who do not.

Shuffle the cards and draw [ ] cards with replacement representing the sample in the psychologist's study. Record the proportion of ? cards and call it p?sim. Repeat this process many, many times and plot the resulting sample proportions to construct the null distribution.

3. Use the One Proportion Resampling Test app to conduct the simulation. Draw at least 3000 samples, then report your p-value from the app. Use this external link to the One Proportion Resampling Test if the app does not load properly on your computer. (Right click to open in a new tab or window.)

A problem with bullying In 2018, the Pew Research Center conducted a survey of American teenagers and reported that 56% of Americans aged 13 to 17 say bullying is a major problem among people their age in the community where they live. A school psychologist wonders if the attitudes of teens in a local school district is different from the figure in the report. She randomly selects 304 students aged 13 to 17 from the district and finds that 181 (59.54%) of them agree that bullying is a major problem among people their age in the community.

1. Select from the dropdowns to complete the null and alternative hypotheses that the psychologist wishes to test.

H0: The percentage of students in my district who say bullying is a major problem is equal to 59.54%
Ha: The percentage of students in my district who say bullying is a major problem is higher than 56%

2. The paragraph below describes how we might perform a randomization-based hypothesis test of the hypotheses in part 1. Fill in the blanks and select the appropriate drop-down choices to correctly describe how the test could be conducted.

To set up a simulation for this situation, we let each student be represented with a card. To set up the null hypothesis model, we take 100 cards, [ ] green cards to represent students who say bullying is a major problem and [ ] white cards to represent students who do not.

Shuffle the cards and draw [ ] cards with replacement representing the sample in the psychologist's study. Record the proportion of ? cards and call it p?sim. Repeat this process many, many times and plot the resulting sample proportions to construct the null distribution.

3. Use the One Proportion Resampling Test app to conduct the simulation. Draw at least 3000 samples, then report your p-value from the app. Use this external link to the One Proportion Resampling Test if the app does not load properly on your computer. (Right click to open in a new tab or window.)

Added by -Ngel C.

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