Problem

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? \begin{tabular}{l|ccc} & Human activity & Natural patterns & Don't know \\ \hline Male & 340 & 153 & 46 \\ Female & 330 & 164 & 47 \end{tabular} Click here to view the chi-square distribution table. Identify the null and alternative hypotheses.

Solution

Step 1 :Identify the null and alternative hypotheses.

Step 2 :The null hypothesis in this case would be that the sex of the respondent is independent of the choice for the cause of global warming. In other words, the distribution of responses between men and women would be the same for each category (Human activity, Natural patterns, Don't know).

Step 3 :The alternative hypothesis would be that the sex of the respondent is not independent of the choice for the cause of global warming. This means that the distribution of responses between men and women would be different for at least one of the categories.

Step 4 :Final Answer: The null hypothesis is that the sex of the respondent is independent of the choice for the cause of global warming. The alternative hypothesis is that the sex of the respondent is not independent of the choice for the cause of global warming.

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