Answer:
The sequence diverges.
Step-by-step explanation:
A sequence converges when
is a real number.
In this question, the sequence given is:
The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: . So
Since the limit is not a real number, the sequence diverges.
Answer:
For this case the parameter of interest is given by:
who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact
For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:
This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:
Step-by-step explanation:
For this case the parameter of interest is given by:
who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact
For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:
This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:
For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
