A retail store wants to test its hypothesized proportions of T-shirts sold by si

Question

A retail store wants to test its hypothesized proportions of T-shirts sold by size against sales in the past month. The hypothesized proportions and observed counts for each of the four sizes (small, medium, large, and extra-large) are displayed below. Note that 600 shirts were sold in total. Use the output to answer the following questions using a 5% level of significance. What are the null and alternative hypotheses? Hypothesized Onserve lre thut a a yco hnrs Hypothesized Observed Expected Chi-Squared Confidence Proportion Counts|Count Contribution Interval Group 0.2 0.25 0.35 0.2 (0.168, 0.232) (0.231, 0.302) (0.32, 0.397) (0.145, 0.205) Small Medium 120 160 215 105 Extra Large HYPOTHESIS TEST RESULTS Degrees of Freedonm Test Statistic P-Value 2.661 0.4469 H1: At least one mean differs significantly from its hypothesized value Ho Ps= .20, p,-25, pL-35,PM-20 H1: At least one proportion differs significantly from its hypothesized value Ho:Ps 20, PM-25,P35, px-20 H1: At least one proportion differs significantly from its hypothesized value Ho:Ps 20, PM-25, PL-35, PXL20 H1: All proportions differ from their hypothesized values H1: All means differ significantly from their hypothesized values Ho:Ds .20, PM- 25,PL-35, x-20 i: All proportions differ significantly from their hypothesized values

Explanation / Answer

here from above chosen option is incorrrect cause it states about statsitic while hypothesis is about paramter.

3rd option is correct.

Ho: ps =0.20 ; pM =0.25 ; pL =0.35 ; pL =0.20

H1: at least one proportion differs significantly from its hypothesized value

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