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Concerns About Climate Change: An Expected Count

APSTAT-3HXXCG

Are American adults and Canadian adults equally concerned about climate change? A random sample of American adults and a random sample of Canadian adults were asked if they were "very concerned", "somewhat concerned" or "not very concerned" about the issue. The table below shows how many adults answered with each response.

American Adults Canadian Adults Total
Very Concerned 29 38 67
Somewhat Concerned 48 52 100
Not Very Concerned 25 22 47
Total 102 112 214

$\ $
Assuming that the proportions of those who would provide each response is the same for American adults as for Canadian adults, what is the expected count for how many American adults would say "very concerned"?

A

$29$

B

$31.93$

C

$32$

D

$34.61$

E

$35.07$