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  3. a randomly selected group of senior citizens in both texas...

Question: a randomly selected group of senior citizens in both texas...

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  1. A randomly selected group of senior citizens in both Texas and Florida were asked if they still had the enthusiasm to learn new things and gain knowledge despite their age. The results are summarized below. 

     

    Texas

    Florida

    Sample size, n

    400

    510

    Number of Yes, x

    251

    297


    State the null hypothesis and the alternative hypothesis to test, at the 5% level of significance, whether the data provides sufficient evidence to conclude that there exists a difference in thinking regarding this question. Assume that the samples are sufficiently large.
    a.
    H0p1 - p2 = 0 vs. Hap1 - p2  ≥ 0
    b.
    H0p1 - p= 0 vs. Hap1 - p≠ 0
    c.
    H0p1 - p= 0 vs. Hap1 - p≤ 0
    d.
    H0p1 - p= 0 vs. Hap1 - p< 0
    e.
    H0p1 - p= 0 vs. Hap1 - p> 0
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