You will be provided with a reference and some statements. Please determine whether each statement is 'supported', 'unsupported', or 'unknown' with respect to the reference. Please note:
First, assess whether the reference contains any valid content. If the reference contains no valid information, such as a 'page not found' message, then all statements should be considered 'unknown'.
If the reference is valid, for a given statement: if the facts or data it contains can be found entirely or partially within the reference, it is considered 'supported' (data accepts rounding); if all facts and data in the statement cannot be found in the reference, it is considered 'unsupported'.

You should return the result in a JSON list format, where each item in the list contains the statement's index and the judgment result, for example:
[
    {
        "idx": 1,
        "result": "supported"
    },
    {
        "idx": 2,
        "result": "unsupported"
    }
]

Below are the reference and statements:
<reference>
kar.kent.ac.uk



This site can’t be reached

kar.kent.ac.uk
took too long to respond.

Try:

Checking the connection

Checking the proxy and the firewall

ERR_TIMED_OUT

Reload

Details

Check your Internet connection

Check any cables and reboot any routers, modems, or other network
devices you may be using.

Allow Chrome to access the network in your firewall or antivirus
settings.

If it is already listed as a program allowed to access the network, try
removing it from the list and adding it again.

If you use a proxy server…

Go to
the Chrome menu >

Settings

>

System

>

Open your computer's proxy settings

and make sure your configuration is set to "no proxy" or "direct."

kar.kent.ac.uk
took too long to respond.
</reference>

<statements>
1. Need for closure generally increases people’s willingness to accept misinformation—especially simple, salient explanations for uncertain events—and makes them more resistant to later corrections, but the effect is modest and strongly context‑dependent.
2. A large body of work shows that need for closure is positively, though usually weakly to moderately, associated with endorsement of conspiracy explanations, which are a common form of misinformation.
3. Meta‑analytic syntheses find a small but reliable correlation between conspiracy beliefs and the desire for structure and closure, supporting the idea that such beliefs help cope with unsatisfied epistemic motives.
4. Its influence is largest under conditions of high uncertainty and low analytical or open‑minded thinking, where simple misinformation offers closure and individuals are less inclined to scrutinize it.
5. Overall, the role of need for closure is to bias *how* people process and stick with information: it nudges them toward accepting the first plausible story that promises certainty and, once adopted, to resist revising that story—whether it is true or misinformation.
</statements>

Begin the assessment now. Output only the JSON list, without any conversational text or explanations.