How to get Call Status(Connected, Busy, No answered & Ringing) from Amazon Connect Streams API?

There are two steps to this, first you need to subscribe to agent events then you trigger based on things happening to the agent. So for example...

connect.agent(async function (agent) {
    agent.onStateChange(function (agentState){
        console.log("Agent State Changed to: " + agentState.newState);
    });
});

You can do similar subscribing to contact events.

connect.contact(function (contact) {
    activeContact = contact;
    contact.onRefresh(function (contact) {/* do stuff */});
    contact.onIncoming(function (contact) {/* do stuff */});
    contact.onAccepted(function (contact) {/* do stuff */});
    contact.onMissed(function (contact) {/* do stuff */});
});

Subscribing to events is covered here... https://github.com/amazon-connect/amazon-connect-streams/blob/master/Documentation.md#event-subscription