可以尝试使用异步任务解决此问题。具体解决方案为编写一个异步任务以在后台执行APK的安装进程，以避免ANR错误。以下是一段示例代码：

private class InstallTask extends AsyncTask {

protected Void doInBackground(Void... params) {
    try {
        String apkPath = "/storage/emulated/0/Download/test.apk";
        PackageManager pm = getPackageManager();
        PackageInfo info = pm.getPackageArchiveInfo(apkPath, 0);
        ApplicationInfo appInfo = info.applicationInfo;
        appInfo.sourceDir = apkPath;
        appInfo.publicSourceDir = apkPath;
        pm.installPackage(appInfo.sourceDir, new InstallListener(), PackageManager.INSTALL_REPLACE_EXISTING, null);
    } catch (Exception e) {
        e.printStackTrace();
    }
}

protected void onPostExecute(Void result) {
    // 等待安装完成后执行的代码
}

}

private class InstallListener extends IPackageInstallListener.Stub {

public void onPackageInstalled(String packageName, int returnCode, String msg) {
    // APK安装状态的回调方法
}

}

在Activity的onCreate方法中执行异步任务可以实现APK的安装：

InstallTask task = new InstallTask(); task.execute();