A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At α = 0.10, test the researcher’s claim.

Survey results

Response                    Frequency, f

Less than $10 …………….    353

$10 to $20 ………………..    167

More than $21 ……………     94

Don’t give one/other ……..    489

(a) Identify the expected distribution and state H₀ and H_a,

(b) Find the critical value and identify the rejection region,

(c) Find the chi-square test statistic,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim.

Transcribed Image Text:

Less than $10 29% $10 to $20 16% Don't give one/other 46% More than $21 9%