Is Haskell a strongly typed programming language?
Static — types are known at compile time. Java and Haskell have static typing. Also C/C++, C#, Go, Scala, Rust, Kotlin, Pascal to list a few more.
A statically typed language might or might not have type inference. Java almost completely lacks type inference (but it's very slowly changing just a little bit); Haskell has full type inference (except with certain very advanced extensions).
(Type inference is when you only have to declare a minimal amount of types by hand, e.g. var isFoo = true and var person = new Person(), instead of bool isFoo = ... and Person person = ....)
Dynamic — Python, JavaScript, Ruby, PHP, Clojure (and Lisps in general), Prolog, Erlang, Groovy etc. Can also be called "unityped"; dynamic typing can be "emulated" in a static setting, but the reverse is not true except by using external static analysis tools. Some languages make it possible to mix dynamic and static (see gradual typing, e.g. https://typedclojure.org/).
Some languages enable static typing for one or more modules, applied at import time, for example: Python+Mypy, Typed Clojure, JavaScript+Flow, PHP+Hack to name a few.
Strong — values that are intended to be treated as Cat always are; trying to treat them like a Dog will cause a loud meeewww... I mean error.
Weak — this effectively boils down to 2 similar but distinct things: type coercion (e.g. "5"+3 equals 8 in PHP — or does it!) and memory reinterpretation (e.g. (int) someCharValue or (bool) somePtr in C, and C++ as well, but C++ wants you to explicitly say reinterpret_cast). So there's really coercion-weak and reinterpretation-weak, and different languages are weak in one or both of these ways.
Interestingly, note that coercion is implicit by nature and memory reinterpretation is explicit (except in Assembly) — so weak typing consists of an implicit and an explicit behavior. Maybe that's even more of a reason to refer to 2 distinct subcategories under weak typing.
There are languages with all 4 possible combinations, and variations/gradations thereof.
Haskell is static+strong; of course it has unsafeCoerce so it can be static+a bit reinterpret-weak at times, but unsafeCoerce is very much frowned upon except in extreme situations where you are sure about something being the case but just can't seem to persuade the compiler without going all the way back and retelling the entire story in a different way.
C is static+weak because all memory can freely be reinterpreted as something it originally was not meant to contain, hence weak. But all of those reinterpretations are kept track of by the type checker, so still fully static too. But C does not do implicit coercions, so it's only reinterpret-weak.
Python is dynamic+almost entirely strong — there are no types known on any given line of code prior to reaching that line during execution, however values that live at runtime do have types associated with them and it's impossible to reinterpret memory. Implicit coercions are also kept to a meaningful minimum, so one might say Python is 99.9% strong and 0.01% coercion-weak.
PHP and JavaScript are dynamic+mostly weak — dynamic, in that nothing has type until you execute and introspect its contents, and also weak in that coercions happen all the time and with things you'd never really expect to be coerced, unless you are only calling methods and functions and not using built-in operations. These coercions are a source of a lot of humor on the internet. There are no memory reinterpretations so PHP and JS are coercion-weak.
Furthermore, some people like to think that static typing is about variables having type, and strong typing is about values having type — this is a very useful way to go about understanding the full picture, but it's not quite true: some dynamically typed languages also allow variables/parameters to be annotated with types/constraints that are enforced at runtime.
In static typing, it's expressions that have a type; the fact of variables having type is only a consequence of variables being used as a means to glue bigger expressions together from smaller ones, so it's not variables per se that have types.
Similarly, in dynamic typing, it's not the variables that lack statically known type — it's all expressions! Variables lacking type is merely a consequence of the expressions they store lacking type.
One final illustration
In dynamic typing, all the cats, dogs and even elephants (in fact entire zoos!) are packaged up in identically sized boxes.
In static typing these boxes look different and have stickers on them saying what's inside.
Some people like it because they can just use a single box form factor and don't have to put any labels on the boxes — it's only the arrangement of boxes with regards to each other that implicitly (and hopefully) provides type sanity.
Some people also like it because it allows them to do all sorts of tricks with tigers temporarily being transported in boxes that smell like lions, and bears put in the same array of interconnected boxes as wolves or deer.
In such label-free setting of transport boxes, all the possible logicistics scenarios need to be played or simulated in order to detect misalignment in the implicit arrangement, like in a stage performance. No reliable guarantees can be given based on reasoning only, generally speaking. (ad-hoc test cases that need for the entire system to be started up for any partial conclusions to be obtained of its soundness)
With labels and explicit rules on how to deal with boxes of various labels, automated/mechanized logical reasoning can be used to draw up conclusions on what the logistics system won't do or will do for sure (static verification, formal proof, or at least pseudo-proof like QuickCheck), Some aspects of the logistics still need to be verified with trial runs, such as whether the logistics team even got the client right. (integration testing, acceptance testing, end user sanity checks).
Moreover, in weak typing dogs can be sliced up and reassembled as frankenstein cats. Whether they like it or not, and whether the result is ugly or not. (weak typing)
But if you add labels to the boxes, it still matters that Frankenstein cats be put in cat boxes. (static+weak typing)
In strong typing, while you can put a cat in the box of a dog, but you can only keep pretending it's a dog until you try to humiliate it by feeding it something only dogs would eat — if that happens, it will scream out loud, but until that time, if you're in dynamic typing, it will silently accept its place (in a static world it would refuse to be put in a dog's box before you can say "kitty").
You seem to mix up dynamic/static and weak/strong typing.
Dynamic or static typing is about whether the type of a variable can be changed during execution.
Weak or strong typing is about being able to predict type errors just from function signatures.
Haskell is both statically and strongly typed.
However, there is no such thing as variable in Haskell so talking about dynamic or static typing makes no sense since every identifier assigned with a value cannot be changed at execution.
EDIT: But like goldenbull said, those typing notions are not clearly defined.