). Is China, Russia or the United States perceived to be a greater threat to the world?(25 points)

Here is how the question was asked in each country about these three world powers.

"_____ ___ is a Major Threat to our Country"

This was the question asked in 60 countries to 950 randomly chosen citizens in each country by the "Pew Research Center" in August 2022 The polls were conducted through a mixture of land line and cell phone calls. The results for each country are percentages.

United States Russia China

Poland 15% 65% 29%

India 19% 17% 44%

S. Korea 42% 47% 83%

Ghana 45% 39% 35%

Mexico 48% 23% 22%

Vietnam 21% 11% 80%

a). Can you state with 95% confidence that less than half of all South Koreans view Russia as a major threat to their country?Confirm or reject with a two sided hypothesis test. Then compute and explain the corresponding p-value. (15 points)

b). Do you trust this result? Do you trust the results equally for all the above countries? (5 points)

c). Is there any policy trend that you see in these findings? (5 points)