isla was researching kiwi birds. she categorized each bird she observed by species and gender. the two - way…

isla was researching kiwi birds. she categorized each bird she observed by species and gender. the two - way frequency table below shows data from observations of 200 kiwis.\nspecies vs gender\n| |male|female|total|\n|--|--|--|--|\n|great spotted|19|24|43|\n|northland brown|39|42|81|\n|tokoeka|32|44|76|\n|total|90|110|200|\nwhich of the following statements is true about the kiwis observed? choose 1 answer.\na there were the most observations of female tokoeka kiwis.\nb great spotted kiwis were more likely to be male than female.\nc more than half of the kiwis were northland brown kiwis.\nd northland brown kiwis were more likely to be female than tokoeka kiwis.

isla was researching kiwi birds. she categorized each bird she observed by species and gender. the two - way frequency table below shows data from observations of 200 kiwis.\nspecies vs gender\n| |male|female|total|\n|--|--|--|--|\n|great spotted|19|24|43|\n|northland brown|39|42|81|\n|tokoeka|32|44|76|\n|total|90|110|200|\nwhich of the following statements is true about the kiwis observed? choose 1 answer.\na there were the most observations of female tokoeka kiwis.\nb great spotted kiwis were more likely to be male than female.\nc more than half of the kiwis were northland brown kiwis.\nd northland brown kiwis were more likely to be female than tokoeka kiwis.

Answer

Explanation:

Step1: Analizar proporciones de género por especie

Para great spotted: proporción de hembras = $\frac{21}{43}\approx0.49$, proporción de machos = $\frac{19}{43}\approx0.44$. Para Northland brown: proporción de hembras = $\frac{42}{81}\approx0.52$, proporción de machos = $\frac{39}{81}\approx0.48$. Para Tokoeka: proporción de hembras = $\frac{44}{76}\approx0.58$, proporción de machos = $\frac{32}{76}\approx0.42$.

Step2: Comprobar cada afirmación

  • Opción A: Para Tokoeka, $\frac{44}{76}> \frac{32}{76}$, es decir, hubo más observaciones de hembras que de machos, así que esta afirmación es falsa.
  • Opción B: $\frac{19 + 39+32}{43 + 81+76}=\frac{90}{200}=0.45<0.5$, no más de la mitad de los kiwis son machos, así que esta afirmación es falsa.
  • Opción C: $\frac{39}{81}<\frac{42}{81}$, Northland brown kiwis no son más propensos a ser machos, así que esta afirmación es falsa.
  • Opción D: $\frac{42}{81}>\frac{44}{76}$, Northland brown kiwis son más propensos a ser hembras que Tokoeka, así que esta afirmación es verdadera.

Answer:

D. Northland brown kiwis were more likely to be female than tokoeka kiwis.