The pie chart shows the distribution of how much married U.S. male adults trust their spouses to manage their finances. A financial services company claims that the distribution of how much married U.S. female adults trust their spouses to manage their finances is the same as the distribution for married U.S. male adults. To test this claim, you randomly select 400 married U.S. female adults and ask each how much she trusts her spouse to manage their finances. The table shows the results. At α = 0.10, test the company’s claim.

(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:

Not sure 0.9% Survey results Do not trust 5.7% Response Frequency. J Completely ts 243 Trust with certairn aspects Do not trust Not sure Trust with certain aspects 27.8% 108 Completely trust 65.6% 36 13