Why is my sqlite3 file never being created?

I'm trying to create a sqlite3 database in Xcode.

Here is the code I'm using:

#include <stdlib.h>
#include <stdio.h>
#include <sqlite3.h>

static int callback(void *NotUsed, int argc, char **argv, char **azColName){
    printf("called here");
    return 0;
}

int main(int argc, const char * argv[]) {
    sqlite3 *db;
    char *zErrMsg = 0;
    int result = sqlite3_open("noodle.sqlite3", &db);

    if (result != SQLITE_OK) {
        printf("did not work\n");
        exit(0);
    }

    char *sql = "CREATE TABLE TEST (ID INT PRIMARY KEY NOT NULL, NAME TEXT NOT NULL);";
    result = sqlite3_exec(db, sql, callback, 0, &zErrMsg);

    if (result != SQLITE_OK) {
        printf("heya");
        exit(0);
    }

    char *sql2 = "INSERT INTO TEST VALUES (3, 'NEATO');";
    result = sqlite3_exec(db, sql2, callback, 0, &zErrMsg);

    if (result != SQLITE_OK) {
        printf("dangit");
        exit(0);
    }

    const char* data = "Callback function called";
    char *sql3 = "SELECT * FROM TEST;";
    result = sqlite3_exec(db, sql3, callback, (void *)data, &zErrMsg);

    return 0;
}

And I'm following this tutorial. But the directory that I have my main.c file in never sees the creation of a noodle.sqlite3 file.

What am I doing wrong? I thought sqlite3_open creates the database if one doesn't exist already.