Question

In recent years, plant-based meats have grown in popularity in the United States. In early 2020, Gallup published the findings of a survey on plant-based meat consumption based on a random sample of American adults. The results are summarized by age group in the table below.

	Age Group
Tried Plant-based Meats	18-34	35-54	55+
Yes	331	371	282
No	363	398	647
Total	694	769	929

Does this provide evidence that the proportion of American adults who have tried plant-based meats differs across age groups?

Q1

Which of the following inference procedures should be used here?

a.) z procedure for a proportion

b.) two sample t procedure for two means

c.) chi-square for two-way tables

d.) one sample or matched-pairs t procedure for a mean

e.) ANOVA for several means

Q2

(Please answer very detail and clear)

The test statistic and P-value for the corresponding hypothesis test are 72.97 and 1E-16. Assuming for now that the conditions are met, use this information to conclude in context. Be sure to be very specific.

[This question will be graded manually]

Q3

What are the conditions for this inference procedure?

a.) Normal data AND large enough expected counts.

b.) Independent random samples AND normal data AND large enough total sample size.

c.) One random sample AND normal data or large enough sample size.

d.) One random sample AND normal data AND large enough sample size.

e.) Independent random samples AND normal data or large enough total sample size AND similar sample standard deviations.

f.) Random selection without repeated measures AND large enough expected counts.

g.) Independent random samples AND normal data AND large enough total sample size AND similar sample standard deviations.

h.) One random sample AND large enough counts of successes and failures in the sample.

i.) Independent random samples AND normal data or large enough total sample size.

Answer 1