Correct Option (D)
Statement 3 is correct: "Higher GDP growth rate does not necessarily ensure higher Tele-density."
- Analysis of the provided data indicates that a high GDP growth rate does not consistently translate into a high Tele-density.
- For instance, State 4 exhibits a GDP growth rate of 9.78%, which is relatively high, yet its Tele-density is remarkably low at 5.94.
- Similarly, State 3 has a GDP growth rate of 10.83%, but its Tele-density stands at 50.07, which is moderate and not indicative of a direct correlation with its high growth rate when compared to states with higher Tele-density.
- These examples demonstrate that a high GDP growth rate is not a sufficient condition to ensure a high Tele-density.
Incorrect Options:
Statement 1 is incorrect: "Higher per capita income is generally associated with higher Tele-density."
- While a general trend might appear to exist, the presence of significant exceptions disproves the claim of a general association.
- For example, State 4 has a per capita income of $545, which is higher than State 3 ($254) and State 17 ($335). However, State 4's Tele-density is only 5.94, whereas State 3 and State 17 have Tele-densities of 50.07 and 49.9 respectively.
- Another case is State 8, with a per capita income of $395 and a Tele-density of 6. These instances demonstrate that higher per capita income is not consistently or generally associated with higher Tele-density across all states in the dataset.
Statement 2 is incorrect: "Higher GDP growth rate always ensures higher per capita income."
- The assertion that a higher GDP growth rate "always ensures" higher per capita income is a strong claim that can be invalidated by a single counter-example.
- Consider State 3, which records a high GDP growth rate of 10.83% but possesses a very low per capita income of $254.
- Conversely, State 14 has a lower GDP growth rate of 5.46% but a significantly higher per capita income of $864.
- This comparison clearly illustrates that a higher GDP growth rate does not invariably guarantee a higher per capita income.