A National Poll Reported That 58% of Those with Internet

question 11

Essay

A national poll reported that 58% of those with Internet access have made purchases online. To investigate whether this percentage applies to its own state, a legislator commissions a study. A random sample of 400 state residents who have Internet access is taken. Of those 400 respondents, 215 said that they have made purchases online. Does this sample provide sufficient evidence to conclude that the state differs from the nation with respect to making purchases online? Use the p-value to conduct the hypothesis test and use a .05 level of significance.

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Definitions:

Observed Frequencies

The number of occurrences or instances of data points in specified categories or intervals as collected from experiments or surveys.

Consumer Panel Preferences

Insights or tendencies displayed by a group of consumers, often collected for market research.

Cafes

Retail establishments that primarily serve coffee and tea along with light snacks and sometimes more substantial meals.

Significance Level

In statistical hypothesis testing, it's the probability of rejecting the null hypothesis when it is actually true, often represented by the symbol alpha (α).