It is known that 259 of the 876 birds that nest in a certain park prefer worms. You believe that the proportion of brown birds

Question

It is known that 259 of the 876 birds that nest in a certain park prefer worms. You believe that the proportion of brown birds that nest in a certain park and prefer worms is lower when compared to all birds that nest in the park,  and decide to test your hypothesis with a 0.01 level of significance. You sample 97 brown birds that nest in the park and discover that 17 prefer worms. Perform the z-test and interpret your results.
Alpha (a)        Zₐ             zₐ/₂
0.1              1.28         1.645
0.05           1.645         1.96
0.01           2.33          2.575

The z-score is 2.592. You would reject the null hypothesis.
The z-score is 2.592. You would not reject the null hypothesis.
The z-score is -2.592. You would reject the null hypothesis.
The z-score is -2.592. You would not reject the null hypothesis.

Kunduz · Accepted Answer

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