Topic: Chi-square Tests

Suppose a provincial survey is conducted by a polling organization, and Martians answered the question: "are you not at all concerned, somewhat concerned, or very concerned that inflation will climb?".The results are given below.

Not at all concerned : 2800

Somewhat concerned: 2000

Very concerned: 5200

This same survey was done in Pluto. It was found that 32% of Plutonians were not at all concerned, 21% were somewhat concerned, and 47% were very concerned. The polling organization is interested in determining if the proportions of people who are not at all concerned, somewhat concerned, or very concerned about inflation rising are the same in Mars as they are in Pluto. Let group 1 be the "not at all concerned" group; group 2 be the "somewhat concerned" group, and group 3 be the "very concerned" group.

(a) State the null and alternative hypotheses using the appropriate notation

(b) Calculate the test statistic. Please round your final answer to 1 decimal place. Enter your value below. (You can use Excel to calculate the test statistic. No need to show your work).

(c) Find the p-value using Excel using the test statistic from part the last question.

(e) Based on this p-value, do you reject the null hypothesis

(d) In one sentence, conclude in the context of the original question